Prove that the triangle formed by joining the mid points of the sides of an isosceles triangle is an isosceles triangle.

Asked by Topperlearning User | 11th Aug, 2017, 11:52: AM

Expert Answer:

An isosceles triangle ABC                    
In ABC, AB = AC              
D, E and F are the mid points of sides AB, AC and BC respectively.
By mid point theorem
EF = DF
In DEF, EF = DF.
Hence, DEF is an isosceles triangle.

Answered by  | 11th Aug, 2017, 01:52: PM