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

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Find The Length Of The Diagonal Of A Quadrilateral

A square has a length of .  What must be the length of the diagonal?

Possible Answers:

Correct answer:

Explanation:

A square with a length of  indicates that all sides are  since a square has 4 equal sides.  Use the Pythagorean Theorem to solve for the diagonal.

Example Question #3 : Other Quadrilaterals

If the rectangle has side lengths of  and , what is the diagonal of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Use the Pythagorean Theorem to solve for the diagonal.

 

Example Question #2 : How To Find The Length Of The Diagonal Of A Quadrilateral

Q12

In the parallelogram above,  and . What is the length of the diagonal ?

Possible Answers:

Correct answer:

Explanation:

In a parallelogram, the two diagonals bisect each other at their centers. Therefore, . To find , we set them equal to one another and solve. 

Plugging this value back into both equations, then adding those values together, gives us our answer of

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