SAT Math Multiple Choice Practice Question 347: Answer and Explanation

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Question: 347

17. The area of a right triangle is 10 square centimeters. If the length of each leg, in centimeters, is a positive integer, then what is the least possible length, in centimeters, of the hypotenuse?

A.
B.
C.
D.
E.

Correct Answer: B

Explanation:

B Area = ?(base)(height)

The base and the height are both integers. Find all the "factor pairs" of 20: 1, 20; 2, 10; and 4, 5

Plug each pair into the Pythagorean theorem to find the least possible length of the hypotenuse:

is the shortest possible hypotenuse.

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