each set of numbers represent the side lengths of a triangle classify each triangle as an acute right or obtuse 5, 8, 9
To classify the triangle as acute, right, or obtuse, we need to check the relationship between the squares of the side lengths. If the sum of the squares of the two smaller side lengths is greater than the square of the longest side length, then the triangle is classified as acute. If the sum of the squares of the two smaller side lengths is equal to the square of the longest side length, then the triangle is classified as right. Finally, if the sum of the squares of the two smaller side lengths is less than the square of the longest side length, then the triangle is classified as obtuse.
In this case, the side lengths are 5, 8, and 9.
Calculating the squares of the side lengths:
5^2 = 25
8^2 = 64
9^2 = 81
Checking the relationships:
25 + 64 = 89, which is less than 81.
Hence, the triangle with side lengths 5, 8, and 9 is classified as an obtuse triangle.