To apply the Pythagorean Theorem, we can use the formula a^2 + b^2 = c^2, where a and b are the two legs of the triangle and c is the hypotenuse.
In this case, side b is 3 and side c is 15. Plugging these values into the formula, we get:
a^2 + 3^2 = 15^2
a^2 + 9 = 225
Subtracting 9 from both sides, we have:
a^2 = 216
Taking the square root of both sides, we get:
a ≈ 14.7
Rounding this to the nearest tenth, we get 14.7.
Therefore, the unknown side length, side a, is approximately 14.7.
The correct answer is b. 14.7.
Apply the Pythagorean Theorem to find the unknown side length in the given triangle. Round your answer to the nearest tenth.
Side b = 3 Side c = 15 Side a = unknown
a. 216
b. 14.7
c. 15.3
d. 234
1 answer