The sides of a triangle are in the ratio 1 : 2 : 3. if perimeter i 36 cm, find its sides
Explain with step by step solution...
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The sides of a triangle are in the ratio 1 : 2 : 3. if perimeter i 36 cm, find its sides
Explain with step by step solution...
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Answer:
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
From 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