A triangle has the vertices labeled E F D. The height E F is labeled 15, the base D F is labeled 20, and the hypotenuse D E is labeled 25. Angle E measures 60 degrees and angle D measures 30 degrees.
Does the Pythagorean Theorem apply to this triangle? How do you know?
Yes, the Pythagorean Theorem applies to this triangle. This is because the triangle is a right triangle, as angle D measures 90 degrees. 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. Since this triangle is a right triangle, the Pythagorean Theorem can be used to check if the given side lengths satisfy this relationship.
