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Ms. McCoy is planting a garden in the shape of a right triangle. Which of the following sets of dimensions would make a right triangle? Answers- A. 10, 8, 7 B. 31, 20, 21 C. 9, 40, 41 D. 11, 13, 5

1 Answer

3 votes

Answer:

C. 9, 40, 41

Step-by-step explanation:

To determine if the set of dimensions would make a right triangle, we use the Pythagorean Theorem.

Note that the longest length is always the hypotenuse.

Option A


\begin{gathered} 10^2=8^2+7^2 \\ 100=64+49 \\ 100\\e113 \end{gathered}

Option B


\begin{gathered} 31^2=20^2+21^2 \\ 961=400+441 \\ 961\\e841 \end{gathered}

Option C


\begin{gathered} 41^2=9^2+40^2 \\ 1681=81+1600 \\ 1681=1681 \end{gathered}

Option D


\begin{gathered} 13^2=11^2+5^2 \\ 169=121+25 \\ 169\\e146 \end{gathered}

The set of dimensions that would make a right triangle is 9, 40 and 41.

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