Question

1. the two sides of a right triangle that are adjacent to, or form, the right - angle. they are often labeled as a and b in the theorem. what do we call the two sides? legs 3. the longest side of a right triangle, and it is always opposite the right - angle. it is labeled as c in the pythagorean theorem formula. what do we call the longest side of a right triangle? hypotenuse 4. what do we call the theorem that states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b)? pythagorean 5. the formula is written as a² + b² = c². true or false true 6. can you identify each missing side as a leg or a hypotenuse? leg or hypotenuse? 80

Explanation:

1. In a right - triangle, the two sides adjacent to the right angle are called legs.
2. The longest side of a right - triangle, opposite the right angle, is called the hypotenuse.
3. The Pythagorean theorem states that in a right - triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b), and its formula is \(a^{2}+b^{2}=c^{2}\).
4. Based on the above - mentioned knowledge, we can identify the hypotenuse as the longest side and legs as the non - hypotenuse sides in a right - triangle.

Answer:

1. Legs
2. Hypotenuse
3. Hypotenuse
4. Pythagorean theorem
5. True
6. Identify based on length and position relative to the right angle (if more information about the triangle is given, can specifically say which is leg or hypotenuse).