Question

the side of a triangle are in the ratio 1 : 2 : 3. if the perimeter is 36 cm .find its sides

Answer 1

let,side to be x
first side is 1x
second side is 2x
third side is 3x
perimeter=sum of all sides.
36cm=1x+2x+3x
36cm =6x
x=36÷6
x=6cm
first side=x=6cm
second side=2x=12cm
third side=3x=18cm
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Answer 2

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Here is the solution:

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Ratio : Side 1 : Side 2 : Side 3 = 1 : 2 : 3

Define x:

Let x be the constant ratio

Ratio : Side 1 : Side 2 : Side 3 = 1x : 2x : 3x

Form equation:

Perimeter = Side 1 + Side 2 + Side 3

36 = 1x + 2x + 3x

36 = 6x

6x = 36

x = 36 ÷ 6

x = 6 cm

Find the sides:

Side 1 = x = 6 cm

Side 2 =2x + 2(6) = 12 cm

Side C = 3x = 3(6) = 18 cm

Answer: The sides are 6cm, 12cm and 18 cm