Question

ABC is a triangle​ and D is midpoint​ of BC.The perpendicular to D to AB and AC are equal​.Prove that the triangle is isosceles​.

Answer 1

Hola

Answer


Proof -

In ∆ ADB and ∆ ADC

AB= AC.. Given
AD= AD common side

Angle ADC = Angle ADB.. Each 90°

Hence they are congruent.

so, Angle B= Angle C.. cpct

hence its isosceles triangle