Perimeter of a triangle

If the perimeter of a triangle is 6 2/3 cm and the lengths of two of its sides are 2 1/2 cm and 3 1/3 cm, find the length if the third side

Correct answer:

c =  5/6 cm

Step-by-step explanation:

p=632=6+32=36 3+2=3206.6667 cm a=221=2+21=22 2+1=25=2.5 cm b=331=3+31=33 3+1=3103.3333 cm  a+b+c=p  c=p(a+b)=6.6667(2.5+3.3333)=650.8333 cm   Verifying Solution:  c1=a+b>c a1=b+c>a b1=c+a>b  c1=a+b=2.5+3.3333=6355.8333 cm a1=b+c=3.3333+0.8333=6254.1667 cm b1=a1+c1=4.1667+5.8333=10 cm

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