Question

a triangle abc has angle b= angle c prove that the perpendiculars from the midpoint bc to ab and ac are equal 2 the perpendiculars from b and c to opposite sides are equal

Answer 1

In the Triangle ABC

Angle B= Angle C

AD is the Median

Thus BD= DC

In Triangles ABD and Triangle ACD

Angle B = Angle C

AD=AD Median

BD= DC ( Median bisects the side BC)

Thus by SAS Congruence, the two triangle s are congruent. Hence AB = AC