College Math CLEP Prep Practice Exam

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If a triangle has two sides measuring 5 cm and 10 cm, what is the longest length of the third side?

15 cm
25 cm
10 cm
5 cm

The correct answer is: 15 cm

The longest length of the third side of a triangle with two sides measuring 5 cm and 10 cm can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse length can be calculated as √(5^2 + 10^2) = √(25 + 100) = √125 = 11.18 cm. Therefore, option A (15 cm) is the correct answer as it is the closest approximation to the square root of 125. Options B, C, and D are incorrect because they do not match the calculated value of the hypotenuse length. Moreover, option D (5 cm) is already given as one