A triangle has sides with lengths of 33 meters, 16 meters, and 28 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 longest side) is equal to the sum of the squares of the other two sides.

1. Identify the sides: The lengths are 33 meters, 28 meters, and 16 meters. The longest side is 33 meters.
2. Apply the Pythagorean theorem:

– Check if (33^2 = 28^2 + 16^2):

– (33^2 = 1089)

– (28^2 = 784)

– (16^2 = 256)

– Now, add (28^2) and (16^2): (784 + 256 = 1040)

Since (1089 neq 1040), the triangle is not a right triangle.

So, the answer is no.