Question:
A right triangle has legs of length 9 cm and 12 cm. What is the length of the hypotenuse?
A right triangle has legs of length 9 cm and 12 cm. What is the length of the hypotenuse?
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For right triangles, the Pythagorean theorem allows you to find the length of the hypotenuse by squaring the lengths of the legs, adding them together, and taking the square root of the sum.
Updated On: Oct 6, 2025
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Solution and Explanation
To find the length of the hypotenuse in a right triangle, we use the Pythagorean theorem:
\[
a^2 + b^2 = c^2
\]
where \( a \) and \( b \) are the lengths of the legs, and \( c \) is the length of the hypotenuse. Substituting the given values:
\[
9^2 + 12^2 = c^2
\]
\[
81 + 144 = c^2
\]
\[
225 = c^2
\]
Taking the square root of both sides:
\[
c = \sqrt{225} = 15
\]
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