Asked by Angelina

which set of measures could be side lengths of a triangle?
a. 4 in., 9 in., 12 in
b. 3 cm.,6 cm, 9 cm
c. 4 mm, 12, mm, 20 mm
d. 5 ft, 6 ft, 13 ft
i don't know how to get the answer so can u please explain?

Answers

Answered by Kimbo
I'm pretty sure you can use the Pythagorean Triples
Have you ever heard of a three four five triangle? sorry I don't think that was much help but rather a hint
Answered by Angelina
no i haven't i;m only in 6th grade so can you break it down as easily as possible
Answered by Kimbo
A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule:

a2 + b2 = c2

Example: The smallest Pythagorean Triple is 3, 4 and 5.

Let's check it:

32 + 42 = 52

Calculating this becomes:

9 + 16 = 25

And that is true
Answered by Kimbo
(3,4,5) (5,12,13) (7,24,25) (8,15,17) (9,40,41)
(11,60,61) (12,35,37) (13,84,85) (15,112,113) (16,63,65)
(17,144,145) (19,180,181) (20,21,29) (20,99,101) (21,220,221)
(23,264,265) (24,143,145) (25,312,313) (27,364,365) (28,45,53)
(28,195,197) (29,420,421) (31,480,481) (32,255,257) (33,56,65)
(33,544,545) (35,612,613) (36,77,85) (36,323,325) (37,684,685)
... infinitely many more ...
Answered by Damon
However here
the sum of any two must not be less than the third side or they will not reach
b fails
c fails
d fails
ONLY A passes :)
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