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
216
216
14.7
14.7
234
In a right triangle, the Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Using this theorem, we can solve for the unknown side length.
Let's denote the unknown side length as x.
According to the Pythagorean Theorem: 15^2 = 3^2 + x^2
Simplifying the equation: 225 = 9 + x^2
Subtracting 9 from both sides: 216 = x^2
Taking the square root of both sides: x = √216 ≈ 14.7
Therefore, the value of the unknown side length is approximately 14.7.
Answer: 14.7