Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c =
inches

Explanation:

Step1: Identify the formula

For a right - triangle, the Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs of the right - triangle and $c$ is the hypotenuse. Here, $a = 2$ in and $b=9$ in.

Step2: Substitute the values

Substitute $a = 2$ and $b = 9$ into the formula: $c^{2}=2^{2}+9^{2}$. Calculate $2^{2}=4$ and $9^{2}=81$. Then $c^{2}=4 + 81=85$.

Step3: Solve for c

Take the square root of both sides: $c=\sqrt{85}$. Calculate $\sqrt{85}\approx9.2$ (rounded to the nearest tenth).

Answer:

$9.2$