Use the image to answer the question.
A right triangle shows the base with a value of 3, the hypotenuse on the left with a value of 15, and the perpendicular side to the base on the right with a question mark.
Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.
(1 point)
Responses
15.3
15.3
234
234
216
216
14.7
14.7
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page 12 of 12
The Pythagorean Theorem states that a² + b² = c², where a and b are the two shorter sides of a right triangle, and c is the hypotenuse. In this case, we know that a = 3 and c = 15.
3² + b² = 15²
9 + b² = 225
b² = 216
b ≈ 14.7
Therefore, the length of the unknown side is approximately 14.7. The answer is:
14.7