If you have a triangle with sides lengths 9 and 12, what is the length of the hypotenuse?

Question

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1 point
13
14
15
16

Answer 1

To find the length of the hypotenuse in a right triangle with side lengths 9 and 12, you can use the Pythagorean theorem, which states:

\[ c = \sqrt{a^2 + b^2} \]

where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.

Plugging in the values:

\[ c = \sqrt{9^2 + 12^2} \] \[ c = \sqrt{81 + 144} \] \[ c = \sqrt{225} \] \[ c = 15 \]

Thus, the length of the hypotenuse is 15.