The sides of the triangle are in the ratio 1/2:1/3:1/5 and its perimeter is…

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The sides of the triangle are in the ratio 1/2:1/3:1/5 and its perimeter is 155 cm, what is the difference between the largest and smallest sides ?

  1. A.

    45 cm

  2. B.

    60 cm

  3. C.

    100 cm

  4. D.

    90 cm

Attempted by 2 students.

Show answer & explanation

Correct answer: A

45 cm

Ratio of sides 1/2 : 1/3 : 1/5 =15 : 10 : 6

Given perimeter=155 cm , so if sides are 15x, 10x & 6x, then 15x+10x+6x =155 ,x=5

So side are 15*5=75 ,10*5=50 & 6*5=30 cm and

Difference between largest & smallest side=75 -30=45 cm

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