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

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Question

Q12

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

Answer

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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Question

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

Answer

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.

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Question

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

Answer

Use the Pythagorean Theorem to solve for the diagonal.

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