Question

Use the image to answer the 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 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 .

Yes, because you can use the Pythagorean Theorem on any triangle
Yes, because you can use the Pythagorean Theorem on any triangle
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Answer 1

Yes, because it is a right triangle. Angles E and D are 60° and 30°, so angle F = 180°−60°−30° = 90°, and 15^2 + 20^2 = 225 + 400 = 625 = 25^2, so the Pythagorean Theorem holds.