Question

right triangle with both legs measuring 12 what is the length of the hypotenuse

Answer 1

To find the length of the hypotenuse in a right triangle with both legs measuring 12, you can use the Pythagorean theorem, which states:

\[
c^2 = a^2 + b^2
\]

where \(c\) is the hypotenuse, and \(a\) and \(b\) are the lengths of the legs. In this case, both legs are 12:

\[
c^2 = 12^2 + 12^2
\]
\[
c^2 = 144 + 144
\]
\[
c^2 = 288
\]
\[
c = \sqrt{288}
\]
\[
c = \sqrt{144 \cdot 2}
\]
\[
c = 12\sqrt{2}
\]

Thus, the length of the hypotenuse is \(12\sqrt{2} \approx 16.97\).