Does the Pythagorean Theorem apply to this triangle? How do you know?

To determine whether the Pythagorean Theorem applies to a triangle, we need to check if the triangle is a right triangle (one angle is 90°).

In your case, you mentioned:

- Triangle E has an angle of 60 degrees
- Triangle D has an angle of 30 degrees
- Triangle F's angle is not given

Since the sum of the angles in any triangle must equal 180 degrees, we can find angle F:

- Angle E = 60°
- Angle D = 30°
- Angle F = 180° - (60° + 30°) = 90°

Since angle F is 90 degrees, triangle DEF is a right triangle.

The Pythagorean Theorem applies to right triangles, so the correct response is:

**Yes, because it is a right triangle.**