Final answer:
The triangle with sides of lengths 27, 79, and 84 is not a right triangle.
Step-by-step explanation:
A triangle is a three-sided figure lying on a plane with three angles adding up to 180 degrees. 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 is equal to the sum of the squares of the lengths of the other two sides.
In this case, the sides of the triangle are 27, 79, and 84. To check if it is a right triangle, we can calculate:
a² + b² = c²
27² + 79² ≠ 84²
Since the equation is not satisfied, we can conclude that the triangle is not a right triangle.