Use the Pythagorean Theorem Quick Check
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Question
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
216
216
15.3
15.3
14.7
14.7
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To apply the Pythagorean Theorem, we can use the formula:
c^2 = a^2 + b^2
where c is the hypotenuse and a and b are the other two sides (legs) of the triangle.
In this case, we know that the hypotenuse is 15 and one of the legs is 3. Let's call the other leg x.
Using the formula, we can write:
15^2 = 3^2 + x^2
225 = 9 + x^2
Simplifying this equation, we get:
x^2 = 225 - 9
x^2 = 216
Taking the square root of both sides, we find:
x = √216
Rounded to the nearest tenth, x ≈ 14.7
Therefore, the unknown side length is approximately 14.7.