Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? Explain.

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Answer:

Sample Response: Gerard determined that the squares of the two smaller sides did not equal the square of the longest side. The side lengths did not create a true statement of the Pythagorean theorem.

Gerard most likely came to the conclusion that the sides of the triangle do not conform to the Pythagorean Theorem.

What is the Pythagorean Theorem?

  • The Pythagorean Theorem states that the sum of the squares of the two smaller legs of a right triangle equals the square of the longer side.
  • Thus, if a and b are the length of the two smaller sides of a right triangle, and c is the longest side, then: a² + b² = c².

Therefore, Gerard most likely came to the conclusion that the sides of the triangle do not conform to the Pythagorean Theorem.

Learn more about the Pythagorean Theorem on:

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