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• CBSE×
• Class 9×
• Mathematics×
• Areas Of Parallelograms And Triangles×
• Area Of Triangles×

# Area Of Triangles Free Doubts and Solutions

## A piece of paper is in the shape of a right-angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?

Asked by rushabhjain.av 1st April 2019, 7:56 AM

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## Prove that a median divides a triangle into two triangle of equal area

Asked by bhardwajvishesh2004 28th November 2018, 4:18 PM

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## only 1st n 3rd are in doubt

Asked by Bhushan 12th October 2018, 4:51 PM

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## Diagonals AC and BD of quad. ABCD intersect each other at P. Show that: ar( CPD) = ar(APD) x ar(BPC)

Asked by Vikas 27th February 2018, 11:16 PM

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## the sides of atriangular plt are in the ratio of 3:5:7 and the perimeter is 300 m .find its area

Asked by abhik80365 25th February 2018, 8:18 PM

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## If the medians of a triangle ABC intersect at G,prove that   area of triangle BCG=1/3 area of triangle ABC

Asked by laxmi.agarwal055 21st February 2018, 7:04 PM

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## Diagonal AC and BD of quad. ABCD intersect at P. Show that ar ( APB ) X ar ( CPD) = ar ( APD) X ar ( BPC )  ( PLS EXPERTS ANS URGENTLY)

Asked by nisha_vini29 17th January 2018, 11:55 PM

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## ABCD is a //gm whose  diagonals intersect at O. P is a point on BQ , then prove that : (i) ar ( ADO) = ar ( DOC )   and  ar ( ABP ) = ar ( BCP )  ( PLS ANS URGENTLY )

Asked by nisha_vini29 17th January 2018, 11:40 PM

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## find the area of largest triangle that can be inscribed in a semi circle of radius r

Asked by sonalibansal168 16th January 2018, 7:43 PM

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## how does a median divide a triangle in two congruent triangles? can you explain with an example, elaborated.

Asked by ishita605 2nd January 2018, 8:36 PM

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## My maths SA1 exam is on 12th of oct, how should i study?

Asked by Jitendra 28th September 2017, 11:37 AM

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## clarify question 6 in very easy method

Asked by md775016 20th August 2017, 7:10 PM

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## 2 buildings of heights 26 m and 14 m are exactly on opposite sides of the road.If the distance between their tops is 15 m, find the width of the road ?

Asked by Vikas 13th July 2017, 10:48 AM

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## ABCD is a parallelogram. E and F are points on side AB such that AE = EF = FB. Show that ar (DAE) = 1/6 ar (ABCD).

Asked by gpnkumar0 7th March 2017, 6:59 PM

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## in a parallelogram ABCD, AB=12cm amd AD=8cm. the bisector of <A meets DC at P. AP and BC are produced to meet at Q as shown in the figure. find the lenght of CQ

Asked by sanjeev.mami 10th March 2016, 10:37 PM

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## IN NCERT BOOK OF MATHS, PG NO.-163  QUE.6  IT IS REQUIRED TO PROVE THE AREA OF TRIANGLES EQUAL SO COULDN'T WE DO IT SIMPLY MAKING BOTH TRIANGLES CONGRUENT BY(S.S.S RULE).WHY IS THERE A NEED TO DO IT BY AAS AND DRAWING ALTITUDE?

Asked by Harshita Singh 10th March 2016, 9:06 PM

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## P and Q are the mid points of sides AB and BC of a triangle ABC and R is the mid point of AP, show that.                                                                              1. AR(PQR) = 1/2 AR(ARC) 2. AR(RQC) = 3/8 AR(ABC) 3. AR(PBQ) = AR(ARC)

Asked by dimplesharma0810 28th February 2016, 8:53 PM

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## answer the following: 1. Triangle PQR is an equilateral triangle with PM perpendicular to QR. prove that the area of triangle PQM=area of triangle PRM. 2. a solid right circular cone of radius 4cm and height 7cm is melted to form a sphere. find the radius of the sphere.

Asked by skbl2009 18th January 2016, 10:39 PM

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## ABC is an acute angled triangle and CD be the altitude through C. If AB = 6 cm and CD = 8 cm, then find the distance between mid-points of AD and BC.

Asked by a.behera67 2nd January 2016, 9:19 PM

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## prove that the area of an equilateral triangle is equal to * where a is the side of the traingle

Asked by Aniket 5th December 2015, 12:45 PM

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## In a parallelogram ABCD, if its area is 20 cm2, find the area of the ABC and the distance between the sides AB and CD, if AB = 5 cm.

Asked by Topperlearning User 26th October 2015, 8:44 AM

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## Y r the new book not present in this site

Asked by Rahul 7th September 2015, 10:51 PM

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## state mid point theoram

Asked by rrdave2611 20th March 2015, 9:10 PM

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## ABCD is a square. M is a point on AB such that AM=MB. P&Q are points on sides AD & extended CB such that CM is perpendicular to PQ. Show that ar(CPM)=(CQM)

Asked by archita123 13th March 2015, 4:42 PM

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## In triangle PQR, base QR is divided at X such that QX=1/2 XR.Prove that ar (PQX) =1/3 ar (PQR).

Asked by rkjha_in 9th March 2015, 5:00 PM

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## ABCD is a  trapezium with parallel sides AB=a and DC=b. If E and F are midpoints of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFE and EFCD is??

Asked by kumar.ashlesha 12th December 2014, 8:45 PM

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## If AD is a median of triangle ABC and P is a point on AC such that ar(ADP): ar(ABD) = 2:3, then ar(PDC) : ar (ABC) is??

Asked by kumar.ashlesha 12th December 2014, 8:37 PM

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## you have given rd sharma solutions for 9th maths. but where i can see its questions . i  donot have rd sarma book

Asked by narayan.cholkar 17th September 2014, 8:09 PM

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## Show that the median of a triangle divides it into two triangles of equal areas.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In the given figure, ABCD is a quadrilateral. A line through D parallel to AC meets BC produced at E. Prove that ar(ABE) = ar quad. ABCD)

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In the given fig., M, N are points on sides PQ and PR respectively of PQR such that ar(QRN) = ar(QRM). Show that MN||QR.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## If medians of a triangle ABC intersects at G show that ar (AGB) = ar (AGC) = ar(BGC) = ar (ABC).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## PQRS is a trapezium with PQ||SR. A line parallel to PR intersects PQ at L and QR at M. Prove that ar(PSL) = ar (PRM)

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## The median BE and CF of ABC intersects at G. Prove that ar(GBC) = ar(quad AFGE)

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## A point E is taken as the midpoint of the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that ar (ADF) = ar(ABFC).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## A point D is taken on the base BC of a ABC and AD is produced to E, such that DE = AD. Show that ar (BCE) = ar(ABC).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In the figure, ABCD is a trapezium in which AB||DC. Prove that ar(AOD) = ar(BOC).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In the figure, PQ||DC||AB. Prove that ar(ACP) = ar(BDQ)

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## ABC and ABD are on the same base AB. If line segment CD is bisected by AB at O, show that ar (ABC) = ar(ABD)

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In figure, E is any point on median AD of a ABC. Show that ar (ABE) = ar (ACE).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. Show that area ABCD = area PBQR.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## ABCDE is pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) Area ACB = Area ACF (ii) area AEDF = area ABCDE

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Diagonal AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC). Prove that ABCD is a trapezium.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## XY is a line parallel to the side BC of a ABC. BE  AC and CF  AB meets XY at E and F respectively. Show that ar (ABE) = ar (ACF).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## In the figure AP  BQ  CR. Prove that ar (AQC) = ar (PBR).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## A point D is taken on the side BC of a ABC such that BD = 2DC. Prove that ar (ABD) = 2 ar (ADC).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Show that the median of a triangle divides it into two triangles of equal area.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Diagonals AC and BD of a trapezium ABCD with AB  DC intersect each other at O. Prove that: ar (AOD) = ar (BOC).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## ABCDE is a pentagon. A line through B is parallel to AC meets DC produced at F. Show that ar (ABC) = ar (ACF).

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that the diagonal of a parallelogram divides it into two triangles of equal area.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## G is the centroid of the ABC, such that GD = 3 cm and BC = 4 cm. Find the area of the ABC.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Prove that the triangles between the same parallels and on the same base are equal in area.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. show that

Asked by shweta mondal 12th January 2014, 9:39 AM

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### CBSE - IX - Mathematics - Areas of Parallelograms and Triangles

Asked by Topperlearning User 13th December 2013, 10:29 AM

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## In triangle ABC, D is the mid point of AB. P is any point on BC. CQ PD meets AB at Q. Show that ar (BPQ) =  ar (ABC).

Asked by Topperlearning User 13th December 2013, 1:36 AM