SOLUTION: A triangle has a perimeter of 46 cm. The longest side is twice as long as the shortest side. the third side is 6 cm longer than the shortest side. the length of the shortest side i

Algebra ->  Triangles -> SOLUTION: A triangle has a perimeter of 46 cm. The longest side is twice as long as the shortest side. the third side is 6 cm longer than the shortest side. the length of the shortest side i      Log On


   

Question 172062: A triangle has a perimeter of 46 cm. The longest side is twice as long as the shortest side. the third side is 6 cm longer than the shortest side. the length of the shortest side is____cm.
Found 3 solutions by solver91311, jackiewalker123, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Let the length of the shortest side be represented by x. Then the length of the longest side is 2x and the length of the third side is x%2B6

Since the perimeter of a triangle is the sum of the lengths of the sides, you can say:

x+%2B+%28x+%2B+6%29+%2B+2x=46

Just solve for x and you have your answer.

Answer by jackiewalker123(2) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe I haven't learn yet?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle has a perimeter of 46 cm. The longest side is twice as long as the shortest side. the third side is 6 cm longer than the shortest side. the length of the shortest side is____cm.
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a = shortest side
c = longest
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c = 2a
b = a+6
a+b+c = 46
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a + (a+6) + 2a = 46
4a + 6 = 46
4a = 40
a = 10 cm