Question

ABC is an isosceles triangle in which altitude be and CF are drawn to equal sides AC and ab respectively show that these attitudes are equal​

Answer 1

Answer:

In triangle ABE and ACF

Angle A=Angle A ( Common)

AB = AC (Given)

Angle AEB= ANGLE AFC= 90°

By AAS criteria Triangle ABE is congruent to ACF

By CPCT BE = CF

Hope you like the answer.

Answer 2

Answer:

As ABC is an isoscalene triangle.

so,

AB = AC

, BF = CE

In triangle BFC and CEB,

BF = CE (proved above)

And, angle BFC =angle CEB=90°

BC =BC (common)

hence,

triangle BFC and triangle CEB are congruent by S.A.S criteria.