Question 66255
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.
{{{(1/2)x + (1/3)x + (1/5)x = 6.2}}} Simplify this and solve for x.  Multiply through by the LCD of 30.
{{{30((1/2)x+(1/3)x+(1/5)x) = 30(6.2)}}} Simplify this.
{{{15x+10x+6x = 186}}}
{{{31x = 186}}} Divide both sides by 31.
{{{x = 6}}}
So the measures of the three sides are:
{{{(1/2)x = (1/2)6}}} = 3
{{{(1/3)x = (1/3)6}}} = 2
{{{(1/5)x = (1/5)6}}} = 1.2
Check:
{{{3+2+1.2 = 6.2}}}