Posted by itrixie on Friday, August 15, 2014 at 5:28pm.
In a triangle with integer side lengths, one side is three times as long as a second side, and the length of the third side is 15. What is the greatest possible perimeter of the triangle?

Geometry  Henry, Friday, August 15, 2014 at 5:59pm
One side = L units.
2nd side = 3L units.
3rd side = 15 units.
3L < 15
L < 5
L = 4 = Largest possible integer.
3L = 3*4 = 12.
P = 4 + 12 + 15 = 31 = Max. possible
perimeter.

Geometry  Steve, Friday, August 15, 2014 at 11:37pm
for sides a<b<c
cb < a < c+b
So, if 3L is the longest side
15L < 3L < L+15
15 < 4L < 2L+15
L > 3.75
L < 7.5
So, the extreme is 7,15,21 for a perimeter of 43

Geometry  itrixie, Saturday, August 16, 2014 at 4:05pm
thank you
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