Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
$c = \square$ millimeters

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( a = 1 \), \( b = 3 \), \( c \) is hypotenuse.

Step2: Substitute values

\( 1^2 + 3^2 = c^2 \)
\( 1 + 9 = c^2 \)
\( 10 = c^2 \)

Step3: Solve for \( c \)

\( c = \sqrt{10} \approx 3.2 \) (rounded to nearest tenth)

Answer:

\( 3.2 \)