SOLUTION: The first side of a triangle is 3 meters shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 27 meters. Find the length of each side

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Question 1133499: The first side of a triangle is 3 meters shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 27 meters. Find the length of each side.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
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SIDE               LENGTH      LENGTH VALUE
first               y-3         4
second               y          7
third              4(y-3)      16
PERIMETER           27

y-3%2By%2B4y-12=27
-
6y-15=27
6y=27%2B15
6y=42
highlight_green%28y=7%29

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
The condition gives the side lengths 4 meters, 7 meters and 16 meters;


but  such a triangle  DOES NOT exists and can not exist,


since the triangle inequalities ARE VIOLATED.

Thus the condition is DEFECTIVE.