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FE Civil Engineering Exam Prep

Category - Civil Engineering

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Given a right triangle (ABC) with side a = 30.30 ft and hypotenuse c = 36.41 ft, what is the length of the side b?

20.19 ft
47.37 ft
67.56 ft
None of the above

Explanation

Answer: A - The length of side b is 20.19 ft.

Solution

Use right triangle formula c² = a² + b²

Where a = 30.30 ft
c = 36.41 ft

b² = c² - a² = (36.41 ft)²- (30.30 ft)² = 1325.69 ft² - 918.09 ft² = 407.60 ft²

b = (407.60 ft²)^½ = 20.19 ft

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