a right triangle 15 3 and ___
Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.(1 point)
15.3
216
234
14.7
To find the unknown side length in a right triangle, 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.
Let's assume that the unknown side length is "x". According to the given information, the known side lengths are 15 and 3.
Therefore, we can set up the equation:
x^2 = 15^2 + 3^2
Simplifying this equation:
x^2 = 225 + 9
x^2 = 234
Taking the square root of both sides to find "x":
x = √234
Rounding the result to the nearest tenth:
x ≈ 15.3
So, the unknown side length is approximately 15.3.
Therefore, the answer is 15.3.