Question

If two angles of a triangle are equal then prove that sides opposite those angles are also equal.

Answer 1

Hola


Here is your answer Friend!


This thereom is also known as Isoceles thereom.


Here is the answer -


Given - In ∆ABC Angle B = Angle C


To prove - Angles opposite to equal sides are equal that is

AB = AC

Construction - Draw a perpendicular line through A and Mark that perpendicular line as AD


Proof - In ∆ ADB and ∆ ADC

Angle B = Angle C.. - Given

AD = AD .. Common Side

Angle ADB = Angle ADC.. Each 90° aa construction AD perpendicular to BC.


Thus, ∆ADB Congruent to ∆ ADC


By ASA test.



Therefore AB = AC

- C. P. C.T


Hence Proved!
Hope it helps!