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 angle at point F is 90°.
No, because the angle at point cap f is 90 degrees .
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
Yes, because it is a right triangle.
1 answer
The Pythagorean Theorem applies specifically to right triangles. In the triangle described, angle \( F \) is the angle opposite the base \( D E \) and is not mentioned to be 90 degrees; instead, angles \( E \) and \( D \) are 60 degrees and 30 degrees, respectively. Therefore, the triangle does not contain a right angle.
The correct response is:
No, because the triangle is not a right triangle.
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