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Add the squares of the two smaller sides. Is it equal to the square of the biggest side? If yes, it is a right angled triangle. 82 + 152 = 64 + 225 = 289 172 = 289 The same, so it is right angled.
If it were, then 17 squared would equal 8 squared plus 15 squared. ie 289 would equal 64 + 225 which it does, so it is a pythagorean triangle.
17/15 is in its simplest form.
2 wrong is 15 right, out of 17 then 15/17 = over 88%