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, 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 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 hypotenuse is 18. The triangle is a right triangle, and the hypotenuse is 18. The triangle is a right triangle with a missing leg length of 24.

To analyze the equation \(182 + b^2 = 302\), we first rearrange it to solve for \(b^2\):

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

Next, we take the square root of both sides to find \(b\):

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

Given that the equation resembles the Pythagorean theorem \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs of a right triangle, this implies that \(182\) is the square of one leg (which is \( \sqrt{182} \approx 13.5 \)) and \(b^2\) corresponds to the other leg while \(302\) is the square of the hypotenuse.

Since \(182\) represents \( \sqrt{182} \) which is close to \(14\) and \(b = \sqrt{120}\), we can summarize that this triangle is a right triangle.

Now, considering the options provided:

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

None of the options seem to correctly represent the triangle derived from the calculation. However, we can correctly state that:

• The triangle is a right triangle.
• We found that one leg is approximately \(10.95\) and the other leg is approximately \(13.5\).

Therefore, if we must select the best match from the available options, the closest related statement to the right triangle is "The triangle is a right triangle with a missing leg length of 24" interpreting "missing leg" broadly for the context.