Question

If D and E are respectively the midpoints of the sides AB and BC of ∆ABC in which AB = 7.2 cm, BC = 9.8 cm and AC = 3.6 cm then determine the length of DE.

Answer 1

In $∆$ABC,

Since, D and E are respectively the mid-points of sides AB and BC. (Given)

So, DE = $\frac{1}{2}$AC (Uing mid-point theorem)

But AC = 3.6 cm (Given)

DE = $\frac{1}{2}$(3.6)

or, DE = 1.8 cm

Hence, the length of DE is 1.8 cm.