Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

ABCD is a trapezium with AB parallel to DC. A line parallel to AC intersect AB at X and BC at Y. Prove that ar(triangle ADX)= ar(triangle ACY).
Asked by Sthitaprajna Mishra | 04 Feb, 2014, 07:47: PM
answered-by-expert Expert Answer
We know that two triangles on the same base and between the same parallels are equal in area.
 
Consider the following figure.
 
In the above figure, triangle ADX and ACX are on the same base AX and between the parallels AB and DC.
 
Therefore, ara r left parenthesis triangle A D X right parenthesis equals a r left parenthesis triangle A C X right parenthesis .,..(1)
Similarly, triangle ACX and ACY are on the same base AC and between the parallels XY and AC.
 
Therefore, a r left parenthesis triangle A C X right parenthesis equals a r left parenthesis triangle A C Y right parenthesis ....(2)
From equations (1) and (2), we have
 
a r left parenthesis triangle A D X right parenthesis equals a r left parenthesis triangle A C Y right parenthesis
Answered by | 05 Feb, 2014, 11:04: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
area of right triangle is 240cm and side other than hypotenuse is 30cm.find the perimeter
Asked by bascaljoseph | 07 Feb, 2023, 01:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
find the perimeter of a square field whose area is 13689 metre square
Asked by yadavPriy000 | 06 May, 2021, 07:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
length of median of an equilateral triangle is 3 cm each side of triangle is
Asked by manugaur698 | 11 Sep, 2020, 04:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
find the percentage increase in the area of the triangle if it side is doubled
Asked by deepakumaraiya200 | 30 Jun, 2020, 09:51: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
how the two parallelograms are equal
Asked by maddinenianr | 21 Mar, 2020, 03:48: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
ABCD is a quadrilateral.P and Q are the mid points of sides CD and AB respectively.AP and DQ meet at X whereas BP and CQ meet at Y.Prove that area of triangle ADX + area of triangle BCY = area of quadrilateral PXQY.
Asked by abhishema7 | 19 Jan, 2020, 12:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Area, base and corresponding altitude are x2, x-3 and x+4 respectively. Find the area of parallelogram.
Asked by prakash.sanyasi | 04 Jan, 2020, 05:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
an isosceles right angled triangle has an area of 8cm square.find the lenght of its hypotenuse.
Asked by kishor.kp14 | 15 Dec, 2019, 05:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
The sides of a triangular plot are in the ratio of 3:5:7 and it's perimeter is300 meter .find its area
Asked by ravinderchoudhary0486 | 06 Dec, 2019, 10:59: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
prove that parallelograms on the same base and with same area lie between the same parallels
Asked by suresh | 27 Nov, 2019, 09:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×