The sides of a scalene triangle are in the ratio 3:1:4. If the perimeter of the triangle is 56cm, find the dimension of the three sides
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Answer:
24CM
Step-by-step explanation:
Let the ratios be 1/3x, 1/4 x and 1/5x.
We know,
Perimeter of a triangle = a+b+c
=> 94 = 1/3x+1/4x+1/5x
=> 94 = x/3 + x/4 + x/5
=> 94 = 20x+15x+12x/60 [taking the LCM of 3, 4 and 5 as 60]
=> 94 = 47x/60
=> 47x = 94*60
=> 47x = 5640
=> x = 5640/47
=> x = 120
Therefore, 1/3x = 1/3*120 = 40cm
1/4x = 1/4*120 = 30cm
1/5x = 1/5*120 = 24cm
Hence, the length of the smallest side is 24cm.
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