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• CBSE×
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Home /Doubts and Solutions/CBSE/Class 9/Mathematics/Triangles/Properties Of Isosceles Triangle

# Properties Of Isosceles Triangle Free Doubts and Solutions

## AD is an altitude of an isosceles triangle ABC in which AB=AC.Show that  ( i )AD bisects BC (ii) AD bisects angle A.

Asked by Nagu.sahukar1543 14th November 2018, 8:11 AM

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## actually I'm able to do the sums but I feel confused in naming the triangles. Can you tell me the correct but easy method in naming triangles correctly?

Asked by meghanavincent25 6th September 2017, 9:03 PM

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## Prove that thrice the median of a triangle is less than twice its perimeter.

Asked by mandaokar 24th August 2017, 6:41 PM

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## In the given figure, ABCD is a quadrilateral in which AB || DC and P is the mid point of BC. On producing, AP and DC meet at Q. Prove that(i) AB = CQ,(ii) DQ = DC + AB

Asked by Topperlearning User 10th August 2017, 2:17 PM

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### CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 2:16 PM

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### CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 2:15 PM

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### CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 2:15 PM

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### CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 1:58 PM

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## Prove that the bisector of the vertical angle of an isosceles triangle bisects the base.

Asked by Topperlearning User 10th August 2017, 1:57 PM

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### CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 1:57 PM

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### CBSE - IX - Mathematics - Triangles

Asked by Topperlearning User 10th August 2017, 1:56 PM

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## If the altitudes from two vertices of a triangle to the opposite sides are equal, prove that the triangle is isosceles.

Asked by Topperlearning User 10th August 2017, 1:56 PM

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## If the segments drawn perpendicular to the two sides of a triangle from the mid point of the third side be congruent and equally inclined to the third side, prove that the triangle is isosceles.

Asked by Topperlearning User 10th August 2017, 1:53 PM

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## Q) In the figure,AB=AC,D is the point in the interior of triangle ABC such that angle DBC=angle DCB. Prove that AD bisects angle BAC of triangle ABC.

Asked by banerjee_milky 27th June 2017, 7:51 PM

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## respected sir/mam  my maths exam is on 14 september 2016 i am not fully prepared for it specially in the chapters triangles and polynomials can you give me some tips to score atleast 70 marks above from 90 marks.

Asked by rajivjoshigoldtech 8th September 2016, 8:49 PM

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## In a triangle ABC ,30A+6B=5C. determine angle A,AngleB and Angle C

Asked by gpnkumar0 5th September 2016, 8:58 PM

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## If an isosceles triangle ,a base is four times its vertices angle. Find all the angles of the triangle

Asked by Isra 12th December 2015, 4:07 PM

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## In a Triangle  ABC,  where BC is produced to point D.  an interior bisector divides Angle A to meet side BC at point E . prove that Angle ABC + Angle ACD = 2 Angle AEC ....     How to solve this?

Asked by Poornima Sastry 28th July 2015, 5:32 PM

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## If two isosceles triangles have a common base, prove that the line segment joining their vertices bisects the common base at right angles.

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

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## In figure, QPR = PQR and M and N are respectively points on sides QR and PR of PQR, such that QM = PN. Prove that OP = OQ, where O is the point of intersection of PM and QN.

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

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## Prove that ABC is an isosceles triangle if median AP is perpendicular to the base BC:

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

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## In ABC, BD and CE are two altitudes such that BD = CE. Prove that ABC is isosceles.

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

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## In right triangle ABC, C = 90°, M is mid point of hypotenuse AB. C is joined to M and produced to a point D such that DM =CM. Point D is joined to point B. Show that (i) ΔAMC ΔBMD (ii) DBC = ACB.

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

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## In figure, if AB=AC and DB=DC then prove that

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

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### CBSE - IX - Mathematics - Triangles

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

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## AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that AD is also the median of the triangle.

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

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## ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that BCD is a right angle.

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

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## In an isosceles triangle ABC with AB = AC the bisector of B and C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisect A

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

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## In an isosceles ABC with AB = AC, BD and CE are two medians. Prove that BD = CE.

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

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## In ABC, D is the midpoint of BC. The perpendiculars from D to AB and AC are equal. Prove that ABC is isosceles.

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

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## In ABC, AB = AC. D is point inside ABC such that BD = DC. Prove that ABD = ACD.

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

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## In figure, ABC is an isosceles triangle with AB = AC, BD and CE are two medians of the triangle, prove that BD = CE.

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

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## In figure, two isosceles triangles have a common base, prove that line segment joining their vertices bisects the common base at right angles.

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

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## Prove that angles opposite to equal sides of a triangle are equal.

Asked by Topperlearning User 20th May 2014, 3:27 PM

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## In ΔABC, AB = AC, A = 36°. If the internal bisector of C meet AB at D, prove that AD = BC.

Asked by Topperlearning User 6th December 2013, 10:43 AM

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## ΔABC is an isosceles triangle with AB = AC, side BA is produced to D such that AB = AD. Prove that BCD is right angle.

Asked by Topperlearning User 6th December 2013, 1:10 AM