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.
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 triangle is not a right triangle.
No, because the triangle is not a right triangle.
No, because the angle at point F
is 90°
.
1 answer
The correct response is:
Yes, because it is a right triangle.
The triangle has angles measuring 60 degrees and 30 degrees, which means that the third angle (at point F) must be 90 degrees (since the sum of angles in a triangle is 180 degrees). Therefore, it is a right triangle, and the Pythagorean Theorem applies.
