Question

in a triangle ABC,D andE are mid points of side AB and AC respectively, ifAB=4, BC=8, AC=6,find the length of DE​

Answer 1

Answer:

Given: D and F are mid points of AB and AC respectively.

Hence, by mid point theorem, DF∥BC

Also, given BD∥EF

Since, opposite sides are parallel to each other. Hence, BDEF is a parallelogram

Perimeter of BDEF = 2(BD+BE) (opposite sides of parallelogram are equal)

Perimeter of BDEF = AB+BC (D and E are mid points of AB and BC respectively)

Perimeter of BDEF = 16+18

Perimeter of BDEF = 34 cm