Home
Class 12
MATHS
One side of an equilateral triangle is 2...

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle this process continues indefinitely. The sum of the perimeters of all the triangles is

A

144 cm

B

212 cm

C

288 cm

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -2 (Level -II) Multiple Correct /JEE Advanced|9 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -3 Subjective /JEE Advanced|35 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -1 Objective Problems /JEE Main Section -A : AP|24 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

One side of an equilateral triangle is 18cm. The mid-point of its sides are joined to form another triangle whose mid-points,in turn,are joined to form still another triangle.The process is continued indefinitely.Find the sum of the (i) perimeters of all the triangles.(ii) areas of all triangles.

One side of an equliateral triangle is 32 cm . The mid -points of its sides are joined to form another trianbgle whose mid -point are in turn joinded to form still another triangle . This process continus indefinitely . Then find the sum of the perimeters and areas of all the triangles .

The side of an equilateral triangle is 3.5cm. Find its perimeter

The side of a given square is 10 cm. The midpoints of its sides are joined to form a new square. Again, the midpoints of the sides of this new aquare are joined to form another square. The process is continued indefinitely. Find (i) the sum of the areas and (ii) the sum of the perimeters of the squares.

An equilateral triangle is drawn by joining the midpoints of the sides of another equilateral triangle. A third equilateral triangle is drawn inside the second one joining the midpoints of the sides of the second equilateral tringle, and the process continues infinitely. Find the sum of the perimeters of all the equilateral triangles, if the side of the largest equilateral triangle is 24 units.

Find the area of an equilateral triangle whose side is a cm.

The side of an equilateral triangle is 672-cm long, then the perimeter of the triangle is

Find the perimeter of an equilateral triangle with side 8 cm.

MOTION-SEQUENCE & SERIES -Exercise -2 (Level -I) Objective Problems /JEE Main AP
  1. If 1,2,3….are first terms, 1,3,5….are common differences and S(1),S(2)...

    Text Solution

    |

  2. IF , a(1),a(2),a(3),….,a(n) are in AP with common difference d ( wher...

    Text Solution

    |

  3. Find three numbers in G.P. such that their sum is 14 and the sum of th...

    Text Solution

    |

  4. If the sum of an infinite G.P. be 3 and the sum of the squares of its ...

    Text Solution

    |

  5. If x^2+9y^2+25 z^2=x y z((15)/2+5/y+3/z),t h e n x ,y ,a n dz are in ...

    Text Solution

    |

  6. If b+ c,c + a, a +b are in H.P then show that a^2,b^2,c^2 are in

    Text Solution

    |

  7. If first and second terms of a HP are a and b, then its n^(th) term wi...

    Text Solution

    |

  8. If a,b,c are in A.P., then (bc)/(ca+ab),(ca)/(bc+ab),(ab)/(bc+ca)

    Text Solution

    |

  9. If p is positive, then the sum to infinity of the series, 1/(1+p) -(1-...

    Text Solution

    |

  10. Find the sum of the series 1-3/2+5/4-7/8+9/16..........oo

    Text Solution

    |

  11. Find the sum of n terms of the series the r^(th) term of which is (2r+...

    Text Solution

    |

  12. If Hn=1+1/2+1/3+.... +1/n, then value of 1+3/2+5/3+....+(2n-1)/n is

    Text Solution

    |

  13. Find the sum of all possible products of the first n natural numbers t...

    Text Solution

    |

  14. {an} and {bn} are two sequences given by an=(x)^(1//2^n) +(y)^(1//2^n)...

    Text Solution

    |

  15. If G1 and G2 are two geometric means and A is the arithmetic mean inse...

    Text Solution

    |

  16. If sum of A.M. and H.M between two numbers is 25 and their GM is 12, t...

    Text Solution

    |

  17. Find two numbers whose arithmetic mean is 34 and the geometric mean is...

    Text Solution

    |

  18. The ratio between the GM’s of the roots of the equations ax^2+bx+c=0 a...

    Text Solution

    |

  19. One side of an equilateral triangle is 24 cm. The midpoints of its sid...

    Text Solution

    |

  20. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

    Text Solution

    |