# Properties Of Isosceles Triangle Free Doubts and Solutions

### CBSE - IX - Mathematics - Triangles

## 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?

**meghanavincent25**6th September 2017, 9:03 PM

### CBSE - IX - Mathematics - Triangles

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

**mandaokar**24th August 2017, 6:41 PM

### CBSE - IX - Mathematics - Triangles

## 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

**Topperlearning User**10th August 2017, 2:17 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**10th August 2017, 1:57 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**10th August 2017, 1:56 PM

### CBSE - IX - Mathematics - Triangles

## 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.

**Topperlearning User**10th August 2017, 1:53 PM

### CBSE - IX - Mathematics - Triangles

## 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.

**banerjee_milky**27th June 2017, 7:51 PM

### CBSE - IX - Mathematics - Triangles

## 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.

**rajivjoshigoldtech**8th September 2016, 8:49 PM

### CBSE - IX - Mathematics - Triangles

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

**gpnkumar0**5th September 2016, 8:58 PM

### CBSE - IX - Mathematics - Triangles

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

**If an isosceles triangle ,a base is four times its vertices angle. Find all the angles of the triangle****Isra**12th December 2015, 4:07 PM

### CBSE - IX - Mathematics - Triangles

## what is integer sided triangle?

**badesraajay**1st August 2015, 6:20 PM

### CBSE - IX - Mathematics - Triangles

## 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?

**Poornima Sastry**28th July 2015, 5:32 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

## 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

## 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

## 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

## 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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**20th May 2014, 3:27 PM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**6th December 2013, 10:43 AM

### CBSE - IX - Mathematics - Triangles

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

**Topperlearning User**6th December 2013, 1:10 AM