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
216
216
14.7
14.7
15.3
15.3
234
To find the unknown side length, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) 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". The Pythagorean equation we can set up is:
3^2 + x^2 = 15^2
9 + x^2 = 225
Subtract 9 from both sides:
x^2 = 216
To solve for x, we take the square root of both sides:
x ≈ 14.7
So, the unknown side length is approximately 14.7.