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.
In this case, the base has a length of 3 and the hypotenuse has a length of 15. Let's call the unknown side length x.
We can set up the equation:
3^2 + x^2 = 15^2
9 + x^2 = 225
Subtract 9 from both sides:
x^2 = 216
Take the square root of both sides (since we are looking for the length of the side, not the square of its length):
x = √216
Rounding to the nearest tenth:
x ≈ 14.7
Therefore, the length of the unknown side is approximately 14.7.
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
14.7
14.7
234
234
216
216
15.3
15.3
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