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)
Answer:
Hope this helps
Step-by-step explanation:
6.1
