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

1 answer

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 \( 9.9 \).