apply the Pythagorean theorem to find the unknown side length in the given triangle. round your answer to the nearest tenth. one side is 15 and the other side is 3.
To find the unknown side length in the given triangle, we can use the Pythagorean theorem which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, let the unknown side length be x. We have one side as 15 and the other side as 3.
So, according to the Pythagorean theorem:
\(15^2 = 3^2 + x^2\)
\(225 = 9 + x^2\)
Subtract 9 from both sides:
\(216 = x^2\)
Take the square root of both sides to solve for x:
\(x = \sqrt{216}\)
\(x ≈ 14.7\)
Therefore, the unknown side length in the triangle is approximately 14.7 units.