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.