Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \boxed{} inches submit

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $a=2$, $b=2$.

$$\begin{align} c^2 &= 2^2 + 2^2 \end{align}$$

Step2: Calculate squared terms

Compute $2^2$ for both sides.

$$\begin{align} c^2 &= 4 + 4 = 8 \end{align}$$

Step3: Solve for c

Take square root of 8, round to nearest tenth.

$$\begin{align} c &= \sqrt{8} \approx 2.8 \end{align}$$

Answer:

2.8 inches