Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
( a = ) feet

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + 3^2 = 4^2$$

Step2: Calculate known squares

$$a^2 + 9 = 16$$

Step3: Isolate $a^2$

$$a^2 = 16 - 9 = 7$$

Step4: Solve for $a$

$$a = \sqrt{7} \approx 2.6$$

Answer:

2.6 feet