Some primitive triples are ... (3, 4, 5) (5, 12, 13) (7, 24, 25) (9, 40, 41) One interesting characteristic of these is that the sum of the last two numbers is the square of the first number.
Any multiple of these will be a Pythagorean triple.
Now consider your list. a) (10, 24, 26) = 2×(5, 12, 13) . . . IS a Pythagorean Triple b) 2×(7, 24, 25) = (14, 48, 50), so (14, 48, 49) is NOT a Pythagorean Triple c) 3×(3, 4, 5) = (9, 12, 15), so (9, 12, 16) is NOT a Pythagorean Triple d) (9, 40, 41) . . . IS a Pythagorean Triple e) 5×(3, 4, 5) = (15, 20, 25) . . . IS a Pythagorean Triple
The sets of side lengths that are Pythagorean Triples are ... (10, 24, 26) (9, 40, 41) (15, 20, 25)
Nearest tenth it would be <em><u>360</u></em><em><u /></em><u /> because the ones digit (3) is less than 5 so we have to round down.
Nearest hundred would be <em><u>400</u></em><em><u /></em><u /> because the tens and ones digit (63) is closer to 400 than it is to 300. So we would have to round up.
