Answer:
Explanation:
To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (also known as the hypotenuse).
So let's calculate the squares of the lengths of the sides of the triangle:
48^2 = 2,304
64^2 = 4,096
80^2 = 6,400
Now let's check whether the Pythagorean theorem holds true:
2,304 + 4,096 = 6,400
Since the sum of the squares of the two shorter sides is equal to the square of the longest side, the triangle is a right triangle. Therefore, this triangle is a right triangle.