Digital PSAT Math Practice Question 334: Answer and Explanation

Question: 334

A right triangle has a hypotenuse of 20 inches and another side length of 16 inches. What is the length of the third side of the right triangle in inches?

Grid-In:

Correct Answer: 12

Explanation:

12. Use the Pythagorean Theorem, $a^{2} + b^{2} = c^{2}$ , to solve for the unknown side. Use 20 for the c, because it is the hypotenuse. Use 16 for a, because it is one of the legs of the triangle (you could also use 16 for b). Solve for the unknown side as follows:

\begin{array}{l} a^{2} + b^{2} = c^{2} \to 16^{2} + b^{2} = 20^{2} \to \\ 256 + b^{2} = 400 \to b^{2} = 400 - 256 \to b^{2} = 144 \to \\ b = \sqrt{144} = 12 \end{array}

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Digital PSAT Math Practice Question 334: Answer and Explanation

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