A triangle has sides with lengths of 6 meters, 7 meters, and 9 meters. Is it a right triangle?

To determine if a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Step 1: Identify the longest side. In this case, the longest side is 9 meters.

Step 2: Apply the Pythagorean theorem. Square the lengths of the two shorter sides, add them together, and see if this equals the square of the longest side.

(6^2) + (7^2) = 36 + 49 = 85

(9^2) = 81

Since 85 does not equal 81, this triangle is not a right triangle.