Question

What is the length of the hypotenuse? If necessary, round to the nearest tenth. a = 7 b =7

Answer 1

To find the length of the hypotenuse of a right triangle when the lengths of the two legs are given, you can use the Pythagorean theorem, which states:

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

In this case, both legs \( a \) and \( b \) are equal to 7. Plugging in the values:

\[
c = \sqrt{7^2 + 7^2}
\]
\[
c = \sqrt{49 + 49}
\]
\[
c = \sqrt{98}
\]
\[
c \approx 9.899
\]

Rounding to the nearest tenth, the length of the hypotenuse \( c \) is approximately \( 9.9 \).