Prove that the triangles formed by joining in pairs, the mid points of the three sides of a triangle are congruent to each other.
Asked by Topperlearning User | 11th Aug, 2017, 11:59: AM
ABC is a triangle in which D, E and F are the mid points of the sides BC, CA and AB respectively.
F and E are the mid points of AB and AC respectively
FE BC and FE = BC (By mid point theorem)
FE = BD
In AFE and FBD,
AF = FB
FE = BD
AFE = FBD (corresponding angles)
AFE FBD (SAS)
Similarly you can prove that the other pairs of triangles are also congruent.
Answered by | 11th Aug, 2017, 01:59: PM
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