## Example Questions

### Example Question #21 : Plane Geometry

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 : How To Find The Length Of The Diagonal Of A Pentagon

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 #3 : How To Find The Length Of The Diagonal Of A Pentagon

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 #1 : Pentagons

Find 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 #5 : How To Find The Length Of The Diagonal Of A Pentagon

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

Write the diagonal formula for a pentagon. Substitute the side length and find the diagonal. ### All ACT Math Resources 