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
Expert Answer:
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.
FE BC and FE = BC (By mid point theorem)FE = BDAFE and FBD,AFE = FBD (corresponding angles)AFE FBD (SAS)
Answered by
| 11th Aug, 2017,
01:59: PM
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