Question

In a triangle ABC,D and E are midpoints of sides AB and AC respectively . If DE=4cm ,then BC =?

Answer 1

by mpt
DE=1/2BC
4=1/2BC
4×2=BC
8cm
hope it helps...

Answer 2

Answer:

The measure of BC is 8cm.

Step-by-step explanation:

Given a triangle ABC.

The measure of DE = 4cm.

D and E are midpoints of sides AB and AC respectively.

DE is the line joining the midpoint of sides AB and AC.

According to the midpoint theorem of a triangle, the line segment joining the midpoints of two sides of the triangle is parallel to its third side and is equal to half of the length of the third side.

Therefore $DE=\frac{1}{2} BC$  and $DE=\frac{1}{2} BC$

$\implies 4=\frac{1}{2} BC \implies BC=8cm$

The measure of BC is 8cm.