Question
does 45 60 75 make a right triangle?
Answers
GPT 3.5
To determine whether the lengths 45, 60, and 75 make a right triangle, we can apply the Pythagorean theorem, which 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.
Using the Pythagorean theorem, we can check if 45^2 + 60^2 = 75^2:
45^2 + 60^2 = 2025 + 3600 = 5625.
75^2 = 5625.
Since 45^2 + 60^2 = 75^2, the lengths 45, 60, and 75 do form a right triangle.
Using the Pythagorean theorem, we can check if 45^2 + 60^2 = 75^2:
45^2 + 60^2 = 2025 + 3600 = 5625.
75^2 = 5625.
Since 45^2 + 60^2 = 75^2, the lengths 45, 60, and 75 do form a right triangle.