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 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 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.
Based on the equation 182 + b^2 = 302, we can conclude that the triangle is a right triangle, and the legs of the triangle are 30 and 24.
To determine what we know about the triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
In this case, the equation 182 + b^2 = 302 is given. To solve for b, we can subtract 182 from both sides of the equation:
b^2 = 120
Taking the square root of both sides, we find:
b = √120
Simplifying this square root, we get:
b ≈ 10.95
Therefore, we know that the length of one of the legs of the triangle is approximately 10.95.
However, none of the provided options exactly match this result.