If the equation 182 + b² = 302 is found to be true, what do we know about the triangle? Responses A. The triangle is a right triangle, and the hypotenuse is 18. B. The triangle is a right triangle with a missing leg length of 24. C. The triangle is a right triangle with a missing side of 34.99. D. The triangle is a right triangle, and the legs are 30 and 24.
B. The triangle is a right triangle with a missing leg length of 24.
This can be deduced from the Pythagorean Theorem, where a, b, and c are the sides of a right triangle. In this case, we have a = 18 (given), b (missing leg), and c = √302. The equation becomes 182 + b² = 302, which simplifies to b² = 120. Taking the square root of both sides gives us b = √120 = 10√3 ≈ 17.32. Therefore, the missing leg length in the right triangle is approximately 24.