Does the Pythagorean Theorem apply to this triangle? How do you know?
Responses
Yes, because it is a right triangle.
Yes, because it is a right triangle. - not selected, this is the correct answer
Yes, because you can use the Pythagorean Theorem on any triangle
Yes, because you can use the Pythagorean Theorem on any triangle - incorrect
No, because the triangle is not a right triangle.
No, because the triangle is not a right triangle. - no response given
No, because the angle at point F
is 90°
.
PLEASE SHOW THE WORK!
The correct answer is "Yes, because it is a right triangle."
To apply the Pythagorean Theorem, a triangle must be a right triangle, meaning it has one angle that measures 90°. In the responses provided, only the first option correctly states that the triangle in question is a right triangle.
To show the work, we need additional information about the triangle, such as the lengths of its sides. However, based on the given options, we can conclude that the Pythagorean Theorem applies to this triangle.