Apply the Pythagorean theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth
234
15.3
14.7
216
To apply the Pythagorean theorem in this case, we need to find the length of the unknown side (let's call it "x") in a right triangle where the other two sides have lengths 15.3 and 14.7.
The Pythagorean theorem 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, we have:
x² = 15.3² + 14.7²
x² = 234.09 + 216.09
x² = 450.18
To find the value of x, we take the square root of both sides:
x ≈ √450.18
x ≈ 21.2
Therefore, the length of the unknown side is approximately 21.2 units.