Use the image to answer the question.

Question

A triangle has the vertices labeled upper E upper F upper D. The height upper E upper F is labeled 15, the base upper D upper F is labeled 20, and the hypotenuse upper D upper E is labeled 25. Angle upper E measures 60 degrees and angle upper D measures 30 degrees.

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

Yes, because it is a right triangle.
Yes, because it is a right triangle.

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

Answer 1

The correct response is:

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

However, the statement is somewhat misleading because if angle F is 90 degrees, then the triangle is a right triangle, and the Pythagorean theorem does apply. If you meant that there is no angle at point F marked as 90°, then the statement about not being a right triangle would be correct.

To clarify: since the triangle has angles of 30 degrees and 60 degrees, it does not have a right angle (90 degrees). Therefore, the Pythagorean Theorem does not apply to this triangle in the way it would to right triangles.

So the best answer, given the options, would indeed be:

No, because the triangle is not a right triangle.