The sides of a scalene triangle are in the ratio 3:1:4. If the perimet

1.	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
Answer» 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 = 9460 => 47x = 5640 => x = 5640/47 => x = 120 Therefore, 1/3x = 1/3120 = 40cm 1/4x = 1/4120 = 30cm 1/5x = 1/5120 = 24cm Hence, the length of the smallest side is 24cm. HOPE ITS HELP U

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

Answer»

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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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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