Final answer:
To find the value of a in a right triangle using the Pythagorean theorem, take the square root of (c² - b²), where c is the length of the hypotenuse and b is the length of one of the legs. In this case, a is approximately 75.2.
Step-by-step explanation:
To find the value of a using the Pythagorean theorem, we can rearrange the formula as follows:
a = √(c² - b²)
Substituting the given values c = 152 and b = 132 into the formula, we have:
a = √(152² - 132²)
a = √(23104 - 17424)
a = √5670.91
Rounding to the nearest tenth, a ≈ 75.2
Therefore, the value of a is approximately 75.2.