Question
You have a triangle with sides that are 4 in., 6 in., and 9 inches. Is this a right triangle?
Answers
GPT 3.5
To determine if this triangle is a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
If we let the side lengths be a=4 in., b=6 in., and c=9 in., then we can apply the theorem as follows:
a^2 + b^2 = 4^2 + 6^2 = 16 + 36 = 52
c^2 = 9^2 = 81
Since a^2 + b^2 does not equal c^2 (52 does not equal 81), this triangle is not a right triangle.
If we let the side lengths be a=4 in., b=6 in., and c=9 in., then we can apply the theorem as follows:
a^2 + b^2 = 4^2 + 6^2 = 16 + 36 = 52
c^2 = 9^2 = 81
Since a^2 + b^2 does not equal c^2 (52 does not equal 81), this triangle is not a right triangle.