Use the image to answer the question.
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
Yes, because it is a right triangle.
Yes, because it is a right triangle.
No, because the angle at point F is 90°.
No, because the angle at point cap f is 90 degrees .
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No, because the triangle is not a right triangle. The Pythagorean Theorem only applies to right triangles, where one angle is 90 degrees.
No, because the triangle is not a right triangle.
The Pythagorean Theorem only applies to right triangles, where one of the angles measures 90 degrees. In this triangle, the angle at point F is not 90 degrees, so the Pythagorean Theorem cannot be applied.
To determine if the Pythagorean Theorem applies to this triangle, we need to recall the theorem itself. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this given triangle, we know the lengths of all three sides - the height EF is labeled 15, the base DF is labeled 20, and the hypotenuse DE is labeled 25. We are also given the angles - angle E measures 60 degrees and angle D measures 30 degrees.
To determine if it is a right triangle, we can look at the angles. A right triangle has one angle that measures 90 degrees. In this case, there is no mention of a 90-degree angle in the given information, so we can conclude that it is not a right triangle.
Therefore, the correct answer is:
No, because the triangle is not a right triangle.