Question

If the equation 18(2) + b(2) = 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 side of 34.99.
The triangle is a right triangle with a missing side of 34.99.

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

Answer 1

The equation is 18^2 + b^2 = 30^2, so by the Pythagorean theorem the triangle is right and
b^2 = 30^2 − 18^2 = 900 − 324 = 576, hence b = 24.

Correct response: "The triangle is a right triangle with a missing leg length of 24."