Question

Does the Pythagorean Theorem apply to this triangle? How do you know?

(1 point)
Responses

No, because the triangle is not a right triangle.
No, because the triangle is not a right triangle.

Yes, because you can use the Pythagorean Theorem on any triangle
Yes, because you can use the Pythagorean Theorem on any triangle

No, because the angle at point F is 90°.
No, because the angle at point cap f is 90 degrees .

Yes, because it is a right triangle.

Answer 1

Using the Converse of the Pythagorean Theorem, explain whether a triangle with sides 15, 10, and 12 is a right triangle.(1 point)
Responses

No, because 244 is not equal to 225.
No, because 244 is not equal to 225.

No, because 325 is not equal to 144.
No, because 325 is not equal to 144.

No, because 369 is not equal to 100.
No, because 369 is not equal to 100.

No, because 22 is not equal to 15.
No, because 22 is not equal to 15.

Answer 2

r u sure

Answer 3

No, because the triangle is not a right triangle.

Answer 4

Yes, because 15^2 + 12^2 = 225 + 144 = 369, which is equal to 10^2 = 100. This satisfies the Converse of the Pythagorean Theorem, so the triangle with sides 15, 10, and 12 is a right triangle.

Answer 5

I apologize for the mistake in my previous response. I made an error in my calculations.

Let's check again:
- 15^2 + 10^2 = 225 + 100 = 325
- 12^2 = 144

Since 325 is not equal to 144, the Converse of the Pythagorean Theorem is not satisfied. Therefore, the triangle with sides 15, 10, and 12 is not a right triangle. Thank you for pointing that out.