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 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.
Yes, because it is a right triangle.
No, because the triangle is not a right triangle.
1 answer
The correct response is:
Yes, because it is a right triangle.
This triangle has one angle measuring 90 degrees (at point F), which makes it a right triangle. The Pythagorean Theorem applies specifically to right triangles, so it can be used here to relate the sides of the triangle (the lengths of the legs and the hypotenuse).
