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The length of the hypotenuse is: 10
Indeed they do, it is a Pythagorean Triple: 6*6 + 8*8 = 10*10. (62 + 82 = 102, 36 + 68 = 100, 100 = 100) The "basic" Pythagorean Triple of a 3, 4, 5 triangle works out like this: 32 + 42 = 52 9 + 16 = 25 25 = 25 Your triangle, the 6, 8, 10, figure, is a "doubling" of the cited "basic" triple, and any multiple of a Pythagorean Triple will also be another Pythagorean Triple, and a right triangle.
The rule with triangles is that if you add the two shortest sides together, the third side should not be above the sum. Another rule is if you subtract the longest of the two sides with the shortest side, the third side should not be below the difference. In this case, 6+8 = 14. 10 is below 14. 8-6 = 2. 10 is above 2. A triangle with the sides of 6, 8, and 10 is possible.
6+8+10=24