does 6,9,12 make a right triangle

Answer 1

No, 6, 9, and 12 do not make a right triangle. A right triangle is a triangle that has one angle equal to 90 degrees. We can use the Pythagorean theorem to determine if a triangle is a right triangle. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's check if the given numbers satisfy this condition:
6^2 + 9^2 = 36 + 81 = 117
12^2 = 144

The two sides of the given triangle do not satisfy the condition of the Pythagorean theorem, which means that the triangle is not a right triangle.