If the equation 18^2 + b2 = 30^2 is found to be true, what do we know about the triangle?(1 point) Responses 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, 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 with a missing side of 34.99.

To determine the nature of the triangle from the equation \(18^2 + b^2 = 30^2\), we first recognize that this is derived from the Pythagorean theorem, which states that for a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).

In this case:

- One leg is \(18\).
- The hypotenuse is \(30\).
- We need to find the length of the other leg \(b\).

We can rearrange the equation \(18^2 + b^2 = 30^2\) to solve for \(b^2\):

\[
b^2 = 30^2 - 18^2
\]

Calculating the squares:

\[
30^2 = 900
\]
\[
18^2 = 324
\]

Now substitute these values back into the equation:

\[
b^2 = 900 - 324 = 576
\]

Taking the square root gives us:

\[
b = \sqrt{576} = 24
\]

Thus, we find that \(b\), the length of the other leg, is \(24\).

From this analysis, we see that the triangle is indeed a right triangle (as indicated by the use of the Pythagorean theorem) and has the following characteristics:

- One leg is \(18\).
- The other leg (missing leg) is \(24\).
- The hypotenuse is \(30\).

Therefore, the correct response is:

**The triangle is a right triangle with a missing leg length of 24.**