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
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
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 .
1 answer
The correct response is:
No, because the triangle is not a right triangle.
This is because the triangle with vertices E, F, and D does not contain a 90-degree angle. The angles provided (60 degrees at E and 30 degrees at D) indicate that the triangle is acute, and thus the Pythagorean Theorem does not apply.
