apply the pythagorean theorem to find the unknown side length in the given triangle. round your answer to the nearest tenth. the hypotenuse is 15, the bottom side is 3, and the right side is unknown. answer choices are 14.7 216 234 15.3
By applying the Pythagorean theorem, we can find the length of the right side as follows:
Let's label the unknown side as "x".
According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Mathematically, this can be represented as:
hypotenuse^2 = bottom side^2 + right side^2
Substituting the given values:
15^2 = 3^2 + x^2
225 = 9 + x^2
Simplifying:
x^2 = 216
Now, taking the square root of both sides:
x = √216
Rounding to the nearest tenth:
x ≈ 14.7
Therefore, the length of the right side is approximately 14.7 units.