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.

Question

Does the Pythagorean Theorem apply to this triangle? How do you know?
(1 point)
Responses

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.
Yes, because it is a right triangle.
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

Answer 1

The triangle with vertices labeled E, F, and D does not satisfy the conditions of a right triangle, as it does not contain a right angle (90 degrees). The angles are given as 60 degrees (angle E) and 30 degrees (angle D), which means angle F must also be 90 degrees to form a right triangle.

Although angle F was not explicitly mentioned, if there was confusion about angle F, you may have noted that angles E and D add up to 90 degrees. However, since the sum of the angles in a triangle should be 180 degrees, and we've assumed that angle F is not 90 degrees here, the triangle is not a right triangle.

Therefore, the correct response is:

No, because the triangle is not a right triangle.