In triangle ABC, D and E are the midpoints of AB and AC respectively and DE= 5.6 cm. Find the length of BC.
Fig below

Question

In triangle ABC, D and E are the midpoints of AB and AC
respectively and DE= 5 6 cm Find the length of BC
Fig below

Radhika Gupta · Accepted Answer

Dear Student,
Solution:
Here, DE∥BC so, DE=12×BC {Because mid point theorem states that The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side
}⇒BC=2×DE=2×5 6=11 2cm
Regards

In triangle ABC, D and E are the midpoints of AB and AC respectively and DE= 5.6 cm. Find the length of BC. Fig below

In triangle ABC, D and E are the midpoints of AB and AC respectively and DE= 5.6 cm. Find the length of BC.
Fig below