Question

ABC is a triangle and D is the mid point of BC the perpendicular from D to AB ans AC are equal prove that triangle is isosceles triangle

Answer 1

given is that both perpendicular s are equal so, take them E and F . Now take triangle BED and CFD. angle DEB is equal to angle DFC. and ED is equal to FD. given D is midpoint so, BD is equal to DC. BY RHS both triangles are equal. by CPCT angle EBD is equal to FCD. hence proved