SOLUTION: Please help me find the measures of the sides of the triangle: The ratio of the measures of three sides of a triangle are 1/2:1/3:1/5, and its perimeter is 6.2 centimeters.

Question 66255: Please help me find the measures of the sides of the triangle: The ratio of the measures of three sides of a triangle are 1/2:1/3:1/5, and its perimeter is 6.2 centimeters.
Found 2 solutions by checkley71, Earlsdon:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
X/2+X/3+X/5=6.2 FIND A COMMON DENOMINATOR (30)
(15X+10X+6X)/30=6.2
31X/30=6.2
31X=186
X=186/31
X=6
1/2*6=3 ONE SIDE
1/3*6=2 SECOND SIDE
1/5*6=6/5=1.2 THIRD SIDE
PROOF
3+2+1.2=6.2
6.2=6.2

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Since you know the ratio of the three sides of the triangle ((1/2):(1/3):(1/5)) you then need to find a common multiplier so that when multiply each of these ratios and add the results, you will get the perimeter of 6.2
Let's call this common multiplier, x.
Simplify this and solve for x. Multiply through by the LCD of 30.
Simplify this.

Divide both sides by 31.

So the measures of the three sides are:
= 3
= 2
= 1.2
Check:

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