Question

What is the length of segment AE? Show your work.

Answer 1

Explanation:

The short side of AB is 2 units shorter than BC.

Side DE has to be 2 units longer than side CD, which is 6.

AE will be the sum of 6 + 8 + 4 + 6, which is 24.

Answer 2

AC+CE=AE

Pythagorean theorem is a big part of this problem. a^2+b^2=c^2

Part AC

8^2+6^2=c^2

64+36= 100

c^2 =

`√(100)`

or

5^2 to match c^2.

Part CE

It is similar to the other one. It's just scaled. 6 to 8, 4 to....6

4^2+6^2=c^2

16+36=52

c^2 =

`√(52)`

It is not a perfect square. So that will be the answer.