Question

1. to which type of triangle does the pythagorean theorem apply? 2. identify the sides of each right triangle by labeling each side as a leg or a hypotenuse.

Explanation:

Step1: Recall Pythagorean theorem

The Pythagorean theorem, \(a^{2}+b^{2}=c^{2}\), applies only to right - angled triangles where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse.

Step2: Identify sides of right - triangle

In a right - triangle, the two sides that form the right angle are called legs, and the side opposite the right angle is the hypotenuse. For the first right - triangle, the two sides meeting at the right - angle corner are legs, and the slanted side is the hypotenuse. For the second right - triangle, the two sides meeting at the right - angle are legs, and the side opposite the right - angle is the hypotenuse.

Answer:

1. Right - angled triangles.
2. In both right - triangles, the two sides forming the right angle are legs, and the side opposite the right angle is the hypotenuse.