Home
Class 14
MATHS
The lengths of sides of a triangle are i...

The lengths of sides of a triangle are in the ratiio `2:3:4`. If the perimeter of the triangle is 63 cm, find the lengths of the sides of the triangle.

Text Solution

Verified by Experts

Let the sides of triangle be 2x+3x and 4x, then `2x+3x+4x=63rArr 9x = 63 rArr x=7`
`therefore The sides of triangle = 2x,3x,4x=14,21,28
` 63xx2/((2+3+4))` and `63xx2/((2+3+4))`
and `63xx4/((2+3+4))=14,21` and
Promotional Banner

Topper's Solved these Questions

  • PROFIT , LOSS AND DISCOUNT

    QUANTUM CAT|Exercise QUESTION BANK|205 Videos
  • SEQUENCE, SERIES & PROGRESSIONS

    QUANTUM CAT|Exercise QUESTION BANK|243 Videos

Similar Questions

Explore conceptually related problems

The sides of a triangle are in the ratio 4:3:2 . If the perimeter of the triangle is 63 cm, then what will be the length of the largest side?

The sides of a triangle ABC are in the ratio 3:4:5. If the perimeter of triangle ABC is 60, then its lengths of sides are:

The sides of a triangle are in the ratio 5:2:1 . If the perimeter of the triangle is 88 cm, then what will be the length of the largest side?

The sides of a triangle are in the ratio (1)/(2) : (1)/(3) : (1)/(4) . If the perimeter of the triangle is 52 cm, the length of the smallest side is

Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.

The sides of a triangle are in the ratio 12 : 15 : 20. If its perimeter be 94 cm, find the length of smallest side of the triangle.

The sides of a triangle are in the ratio 2:3:4. The perimeter of the triangle is 18 cm. The area (in cm^2 ) of the triangle is

The sides of a triangle are in the ratio 12:15:20: If its perimeter be 94 cm, find the length of smallest side of the triangle.

The sides of a triangle are in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm. Find the length of the smallest side of the triangle.

The sides of a triangle are in the ratio 2:3:4 . The perimeter of the triangle is 18 cm. The area (in cm^(2) ) of the triangle is

QUANTUM CAT-RATIO, PROPORTION & VARIATION-QUESTION BANK
  1. Three boys are aged 2 years, 4 years and 8 years. They went to divid...

    Text Solution

    |

  2. A amount of Rs. 100 is being divided among two persons in the ratio 1/...

    Text Solution

    |

  3. The lengths of sides of a triangle are in the ratiio 2:3:4. If the per...

    Text Solution

    |

  4. Divide 1224 into three parts such that first part be double that of se...

    Text Solution

    |

  5. If X:Y=3:4,Y:Z=5:2 then find the value of X:Y:Z.

    Text Solution

    |

  6. The ratio of A:B=1:3,B:C=2:5,C:D=2:3. Find the value of A:B:C:D

    Text Solution

    |

  7. There are two types of mixtures of milk and water. In the first mixtur...

    Text Solution

    |

  8. The ratio of salary of A:B=1:2,B:C=3:4, C:D=5:6 and D:E=7:8 What is th...

    Text Solution

    |

  9. If a/b=3/4 then find the value of 7a-4b:3a+b.

    Text Solution

    |

  10. If p:q=3:2 and q:r=6:5 then p:q:r is equal to

    Text Solution

    |

  11. The sum of two natural numbers is 64. Which of the following can not b...

    Text Solution

    |

  12. Monthly incomes of A and B are in the ratio of 4:3 and their savings a...

    Text Solution

    |

  13. A, B and C have 40, x and y balls with them respectively. If B gives 2...

    Text Solution

    |

  14. The incomes of A,B,C are in the ratio of 12:9:7 and their spendings ar...

    Text Solution

    |

  15. There are total 100 coins consisting of 20 paise, 50 paise and Re 1 in...

    Text Solution

    |

  16. There are 43800 students in 4 schools of a city. If half of the first,...

    Text Solution

    |

  17. The first, second and fouth terms of a proportional are 5,15and 90 res...

    Text Solution

    |

  18. The ratio of length to width of a rectangular sheet of paper is 5:3. I...

    Text Solution

    |

  19. If 18,x,x,256 are proportion, find x.

    Text Solution

    |

  20. The ratio between the number of men and women in an office is 5:7. If ...

    Text Solution

    |