Question

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

Answer 1

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.