# ACT Math : How to find the length of the diagonal of a pentagon

## Example Questions

### Example Question #1 : Pentagons

If the side of a pentagon is , what is the diagonal of the pentagon?

Explanation:

Write the formula for finding the diagonal of a pentagon.

Plug in the side length and simplify.

### Example Question #2 : Pentagons

If a side of the pentagon is , what is the diagonal of the pentagon?

Explanation:

Write the diagonal formula for a pentagon.

Substiitute the side length and find the diagonal.

### Example Question #3 : Pentagons

Find the length of the diagonal for a pentagon with a a side length of .

Explanation:

Use the formula for the diagonal of a pentagon:

### Example Question #27 : Act Math

Find the length of the diagonal for a pentagon with a perimeter of .

Explanation:

1. Use the formula for perimeter to solve for the side length:

2. Use the formula for the diagonal of a pentagon:

### Example Question #4 : Pentagons

Find the diagonal for a pentagon with a perimeter of .