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

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #24 : Plane Geometry

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

Possible Answers:

Correct answer:

Explanation:

Write the formula for finding the diagonal of a pentagon.

Plug in the side length and simplify.

Example Question #25 : Plane Geometry

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

Possible Answers:

Correct answer:

Explanation:

Write the diagonal formula for a pentagon.

Substiitute the side length and find the diagonal.

Example Question #26 : Plane Geometry

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

Possible Answers:

Correct answer:

Explanation:

Use the formula for the diagonal of a pentagon:

Example Question #27 : Plane Geometry

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

Possible Answers:

Correct answer:

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 #28 : Plane Geometry

Find the diagonal for a pentagon with a perimeter of .

Possible Answers:

Correct answer:

Explanation:

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

 

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

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