right if sum of squares of legs equals square of the hypotenuse (hypotenuse will be the longest side)
acute if sum of squares of legs greater than square of the hypotenuse
obtuse if sum of squares of legs less than square of the hypotenuse
15, 8, 17
squares: 225, 64, 289 right because 225 + 64 = 289
10, 9, 5
100, 81, 25 acute because 81 + 25 = 106 > 100
18, 11, 14
324, 121, 196 obtuse because 121 + 196 = 317 < 324
17, 13, 20
289, 169, 400 acute because 289 + 169 = 458 > 400