SOLUTION: One side of a triangle is half the longest side. The third side is 12 meters less than the longest side. The perimeter is 58 meters. Find all three sides.

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Question 1133865: One side of a triangle is half the longest side. The third side is 12 meters less than the longest side. The perimeter is 58 meters. Find all three sides.
Found 2 solutions by addingup, josgarithmetic:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
Longest side: h
One side: 1/2h
third side: h - 12
.
h + 1/2h + h - 12 = 58
2.5h = 70
h = 28
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check:
h + 1/2h + h - 12 = 58
28 + 14 + 28 - 12 = 58
58 = 58 Correct


Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
z, the longest side


ONE side             (1/2)z
THIRD side           z-12
LONGEST side         z
PERIMETER              58

ALTERNATIVE VARIABLES ASSIGN
v, "ONE side"

ONE side               v
THIRD side             2v-12
LONGEST side          2v
PERIMETER              58

Perimeter sum using the alternative variables is .
Solving should be no trouble.
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