# Ratio of sides

The triangle has a circumference of 21 cm and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm.

Correct result:

a =  9 cm

#### Solution:

a+b+c = 21
a = 6x
b = 5x
c = 3x

a+b+c = 21
a = 6•x
b = 5•x
c = 3•x

a+b+c = 21
a-6x = 0
b-5x = 0
c-3x = 0

a = 9
b = 15/2 = 7.5
c = 9/2 = 4.5
x = 3/2 = 1.5

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