Kaplan Nursing Entrance Practice Exam

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If a right triangle has a base of 60 feet and a height of 80 feet, what is the length of the hypotenuse?

  1. 60 feet

  2. 80 feet

  3. 100 feet

  4. 120 feet

The correct answer is: 100 feet

To find the length of the hypotenuse in a right triangle, the Pythagorean theorem is used, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the base is 60 feet (one side) and the height is 80 feet (the other side). Calculating the length of the hypotenuse involves the following steps: 1. Square the lengths of the base and height: - \(60^2 = 3600\) - \(80^2 = 6400\) 2. Add these two results together: - \(3600 + 6400 = 10000\) 3. Take the square root of this sum to find the length of the hypotenuse: - \(\sqrt{10000} = 100\) feet. This calculation confirms that the hypotenuse of the triangle, given the base and height, measures 100 feet.

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