Question

does the pythagorean theorem apply to this triangle? how do you know? (1 point) yes, because it is a right triangle yes, because you can use the pythagorean theorem on any triangle

Explanation:

Step1: Calculate the third angle

The sum of angles in a triangle is \(180^{\circ}\). Let the third angle at \(F\) be \(x\). Then \(x + 60^{\circ}+30^{\circ}=180^{\circ}\), so \(x = 90^{\circ}\).

Step2: Check Pythagorean Theorem condition

The Pythagorean Theorem \(a^{2}+b^{2}=c^{2}\) (where \(c\) is the hypotenuse) applies only to right - angled triangles. Since one angle of the triangle is \(90^{\circ}\), it is a right - angled triangle.

Answer:

Yes, because it is a right triangle.