PSAT Math : How to find the length of the diagonal of a square

Study concepts, example questions & explanations for PSAT Math

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Example Questions

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

If the area of a square is  units squared, what is the length of its diagonal?

Possible Answers:

 units

 units

 units

Not Enough Information

 units

Correct answer:

 units

Explanation:

The diagonal of a square creates two special 45-45-90 triangles, meaning that the diagonal of a square is just the length of one side of the square multiplied by the square root of 2.  

In this problem, you can figure out the length of one side of the square by finding the square root of the area (which is equal to a side length), then multiplying that number by the square root of 2.

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