Question

Question
Can a triangle with sides 7, 10, and 12 be a right triangle? How do you know?(1 point)
Responses

No, because 193 does not equal 100.
No, because 193 does not equal 100. - no response given

Yes, because it looks like a right triangle.
Yes, because it looks like a right triangle. - incorrect

No, because 149 does not equal 144.
No, because 149 does not equal 144. - no response given

There is no way to tell without an angle measure.

Answer 1

No. For a right triangle the square of the hypotenuse must equal the sum of the squares of the legs. Here 7^2 + 10^2 = 49 + 100 = 149, but 12^2 = 144, and 149 ≠ 144, so it is not a right triangle.