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 and one leg is 3.
234
15.3
14.7
216
To find the unknown side length in the given triangle, we can use the Pythagorean Theorem, which is stated as follows:
c^2 = a^2 + b^2
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
In this case, the hypotenuse is given as 15, and one leg is given as 3. Let's denote the unknown side length as x.
Applying the Pythagorean Theorem, we get:
15^2 = 3^2 + x^2
225 = 9 + x^2
Rearranging the equation, we have:
x^2 = 225 - 9
x^2 = 216
Taking the square root of both sides gives us:
x ≈ √216
x ≈ 14.7
Therefore, the unknown side length in the triangle is approximately 14.7. So the correct answer is 14.7.