Question

In the given figure, if AB=AC, angle BAD=angle CAE then prove that ∆ADE an isosceles triangle.
(plz send the answer as soon as possible ch 7 NCERT class 9 with given, to prove and proof)​

Answer 1

Answer:

Given:- Δ ABC is isosceles

AB = AC

BE=CD

To Prove :- AD= AE

Proof:- Since

AB =AC

therefore, angle C =angle. B(Angles Opposite to equal sides are equal)

In Δ ACD and Δ ABE

AC =AB (Given)

angle C = angle B (1 statement)

CD =BE ........(given)

Δ ACD congruent Δ ABE (C. P. C. T)

This gives,

AB = AC

Here, two sides are equal. Then, triangle ABC is an isoceles triangle.

Answer 2

Step-by-step explanation:

given : AB = AC

angle BAD = angle CAE

to prove : AD = AE

proof : angle BAD = angle CAE (given)

AB = AC ( given)

angle B = angle C ( AB = AC, angle.

opposite to equal sides are also equal )

therefore ,Δ ABD congruent to ΔACE by ASA

AD = AE (by CPCT)

hence proved, ΔADE is an isosceles triangle

hope it helps you