Question

If the equation 182 + b2 = 302 is found to be true, what do we know about the triangle?(1 point) Responses The triangle is a right triangle with a missing side of 34.99. The triangle is a right triangle with a missing side of 34.99. The triangle is a right triangle, and the legs are 30 and 24. The triangle is a right triangle, and the legs are 30 and 24. The triangle is a right triangle with a missing leg length of 24. The triangle is a right triangle with a missing leg length of 24. The triangle is a right triangle, and the hypotenuse is 18.

Answer 1

To solve the equation \(182 + b^2 = 302\), we can first isolate \(b^2\):

\[ b^2 = 302 - 182 \] \[ b^2 = 120 \]

Now, taking the square root of both sides gives us:

\[ b = \sqrt{120} \approx 10.95 \]

This is the length of one side of the triangle.

Now, let's analyze the available responses.

1. The triangle is a right triangle with a missing side of 34.99. (Incorrect)
2. The triangle is a right triangle, and the legs are 30 and 24. (Incorrect)
3. The triangle is a right triangle with a missing leg length of 24. (Incorrect)
4. The triangle is a right triangle, and the hypotenuse is 18. (Incorrect)

None of these options correctly reflect what we found from the equation. The triangle's dimensions indicate that it is more likely to be classified incorrectly in the given options, as it has a missing side length of approximately \(10.95\).

Therefore, none of the responses accurately represent the information derived from the equation. Perhaps you wanted the values of the sides to be compared or to check if the actual calculations align with one of the stated options? These statements do not align with the resolution to the equation, confirming the relationship and values associated with a right triangle.