Question

if the altitude from two vertical of a triangle to apposite sides are equal,prove that the triangle is isosceles.

Answer 1

hiii friend
here is your answer
assuming the lenght of altitude be "k"
and the side be AB and AC
so,
I case

area =0.5×k×AB

II case

area =0.5×k× AC


as, the area must be equal

so,
0.5×k×AB = 0.5×k×AC
AB = AC

so, the two side are equal then, the triangle must be isosceles in nature


glad to help you
hope it helps
thank you.