Question

2. The mid-point M of base of triangle ABC is equidistant from its sides.
Show that triangleABC is isosceles.​

Answer 1

Step-by-step explanation:

Given: ABC is a triangle in which M is the midpoint.

RTP: AB = AC or ABC is a isosceles Triangle

PROOF: In triangle ABM and Triangle ACM

BM = CM ( since M is the midpoint)

AM = AM ( common )

angle AMB = angle AMC ( Each 90 degree)

Therefore, Triangle ABM Congruent to Triangle ACM

Therefore , AB = AC (CPCT)

Therefore, Triangle ABC is an isosceles Triangle.

HENCE PROVED

Answer 2

a round solid figure, or its surface, with every point on its surface equidistant from its centre.