Question

what is the missing side length?
(leg a)² + (leg b)² = (hypotenuse)²
options: 17, 3, √149, √51

Explanation:

Step1: Apply Pythagorean theorem

$7^2 + 10^2 = x^2$

Step2: Calculate squared leg values

$49 + 100 = x^2$

Step3: Sum and solve for x

$149 = x^2 \implies x = \sqrt{149}$

Answer:

$\sqrt{149}$