If the equation 182 + b2 = 302

Question

is found to be true, what do we know about the triangle?
Responses

The triangle is a right triangle, and the hypotenuse is 18.
The triangle is a right triangle, and the hypotenuse is 18. - no response given

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. - no response given

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. - incorrect

Show the work

Answer 1

To determine what we know about the triangle, we need to solve for b using the given equation.

182 + b^2 = 302

Subtract 182 from both sides:

b^2 = 120

Taking the square root of both sides:

b = √120

Simplifying the square root:

b ≈ 10.95

Therefore, we know that the missing side of the triangle (represented by b) is approximately 10.95.