Question

I have a question and i need help

Answer 1

The length of AB is;

`12\text{ ft}`

Step-by-step explanation:

Given the isosceles trapezoid in the attached image.

The length of line segment AE will be;

`\begin{gathered} AE=(28-12)/(2)=(16)/(2) \\ AE=8\text{ ft} \end{gathered}`

We can then use the Pythagorean theorem to solve for the length of the line segment AB;

`\begin{gathered} AB^2=AE^2+BE^2 \\ AB^2=8^2+9^2 \\ AB^2=64+81 \\ AB=\sqrt[]{64+81} \\ AB=\sqrt[]{145} \\ AB=12.04ft \\ AB=12\text{ ft} \end{gathered}`

Therefore, the length of AB is;

`12\text{ ft}`