Question

1. 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)? your answer should be one word. pythagorean 5. the formula is written as a² + b² = c². true or false true

Explanation:

1. In a right - triangle, the longest side opposite the right - angle is defined as the hypotenuse.
2. 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), which is a well - known geometric relationship.
3. The formula for the Pythagorean theorem is indeed written as \(a^{2}+b^{2}=c^{2}\).

Answer:

1. Hypotenuse
2. Pythagorean
3. True