Apply the Pythagorean Theorem to find the unknown leg length in a triangle with the hypotenuse of 15, and a leg of 3. Round your answer to the nearest tenth.
To find the unknown leg length, we can use the Pythagorean Theorem, which states that a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
Let x be the length of the unknown leg. We can set up the equation as follows:
3^2 + x^2 = 15^2
9 + x^2 = 225
x^2 = 216
x ≈ √216
x ≈ 14.7
Therefore, the unknown leg length is approximately 14.7.