Question

1. given that segment de is a mid - segment of δabc, find the following.

ad =
de =
5.4

Explanation:

Step1: Recall mid - segment property

A mid - segment of a triangle is parallel to the third side and half its length. Also, the mid - point divides the side it intersects into two equal parts.

Step2: Find the length of AD

Since D is the mid - point of AB and AB = 13, then $AD=\frac{AB}{2}=\frac{13}{2}=6.5$.

Step3: Find the length of DE

Since DE is a mid - segment parallel to AC and AC = 10, then $DE=\frac{AC}{2}=\frac{10}{2}=5$.

Answer:

AD = 6.5
DE = 5