Question

what is the missing side length?
(leg a)² + (leg b)² = (hypotenuse)²
7² + 10² = x²

Explanation:

Step1: Calculate the squares of the legs

$$\begin{align*} 7^{2}&=49\\ 10^{2}&=100 \end{align*}$$

Step2: Add the results of the squares

$$ 49 + 100=x^{2}\\ 149=x^{2} $$

Step3: Solve for \(x\)

Take the square root of both sides: \(x = \sqrt{149}\)

Answer:

\(\sqrt{149}\)