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
234
234
15.3
15.3
216
216
14.7
14.7
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page 12 of 12
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
So in this case, we have:
c^2 = a^2 + b^2
15^2 = 3^2 + b^2
225 = 9 + b^2
b^2 = 216
b = √216
b = 14.7
Therefore, the length of the perpendicular side (b) is approximately 14.7.