Question

In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC. If the measure of segment AB is 8 units, what is the measure of segment segment ED?

triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED
3 units
4 units
5 units
6 units

Answer 1

Answer:

4 units

Step-by-step explanation:

Answer 2

The measure of segment ED is 4 units.

Given In ΔCAB, point E is the midpoint of segment AC and point D is the midpoint of segment BC.

And AB is 8 units.

We have to calculate the length of segment ED.

We know 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. This theorem is known as the mid point theorem.

So in  ΔCAB, E and D are the midpoint of AC and BC respectively then the length of DE is half of AB which is  $\frac{8}{2}$ $=4$ units.

Hence the measure of segment ED is 4 units.

For more details on midpoint theorem follow the link:

https://brainly.com/question/2625853