Question

in a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. if a = 45 yards and c = 75 yards, what is b? if necessary, round to the nearest tenth. b = \boxed{} yards

Explanation:

Step1: Apply Pythagorean theorem

$a^2 + b^2 = c^2$ → $b^2 = c^2 - a^2$

Step2: Substitute values

$b^2 = 75^2 - 45^2 = 5625 - 2025 = 3600$

Step3: Calculate b

$b = \sqrt{3600} = 60$

Answer:

60