Final answer:
The triangle with side lengths 9, 10, and 130√ is an obtuse triangle.
Step-by-step explanation:
The triangle with side lengths 9, 10, and 130√ is an obtuse triangle. To determine the type of triangle, we need to compare the squares of the lengths of the two shorter sides (9 and 10) to the square of the longest side (130√).
If the sum of the squares of the two shorter sides is less than the square of the longest side, then the triangle is obtuse. In this case, 9^2 + 10^2 = 181, which is less than (130√)^2 = 16900. Therefore, the triangle is obtuse.
Remember that an obtuse triangle has one angle greater than 90 degrees.