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
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.
1 answer
The correct answer is:
No, because the triangle is not a right triangle.
This is because the angles given (60 degrees at E and 30 degrees at D) indicate that there is no right angle (90 degrees) at any vertex of the triangle. The Pythagorean Theorem only applies to right triangles, thus it does not apply here.
