Question

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.

Answer 1

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.

Answer 2

Right triangle ... use Pythagorean theorem.
Hypotenuse is longest side.
8^2 = 64 so it is the shortest side, then sqrt(95) then sqrt(150).
So Pythagorean theorem is 8^2 + [sqrt(95)]^2 = [sqrt(150)]^2 if the triangle is right.
64 + 95 = 159 which doesn’t equal 150 so he’s right. It’s not a right triangle