Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
a = \boxed{} yards

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + 40^2 = 50^2$$

Step2: Calculate known squares

$$a^2 + 1600 = 2500$$

Step3: Isolate $a^2$

$$a^2 = 2500 - 1600 = 900$$

Step4: Solve for $a$

$$a = \sqrt{900} = 30$$

Answer:

30 yards