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

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) (Show Source): You can put this solution on YOUR website!

SIDE LENGTH LENGTH VALUE first y-3 4 second y 7 third 4(y-3) 16 PERIMETER 27 -

Answer by ikleyn(52787) (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.

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