Home
Class 11
MATHS
One side of an equilateral triangle is 1...

One side of an equilateral triangle is 18 cm. 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.

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|200 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|22 Videos

Similar Questions

Explore conceptually related problems

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

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

If the side of an equilateral triangle is 6 cm, then its perimeter is

The side of a given square is equal to a. The mid-points of its sides are joined to form a new square. Again, the mid-points of the sides of this new square are joined to form another square. This process is continued indefinitely. Find the sum of the areas of the squares and the sum of the perimeters of the squares.

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

Each side of an equilateral triangle measure 10 cm. Find the area of the triangle .

If the side of an equilateral triangle is doubled, find the new perimeter.

Construct an equilateral triangle whose side is 5 cm.

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

Find the perimeter of an equilateral triangle of side 13 cm.

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. If S denotes the sum of an infinite G.P. adn S1 denotes the sum of the...

    Text Solution

    |

  2. The sum of first two terms of an infinite G.P. is 5 and each term is ...

    Text Solution

    |

  3. One side of an equilateral triangle is 18 cm. The mid-point of its ...

    Text Solution

    |

  4. If Sp denotes the sum of the series 1+r^p+r^(2p)+... tooo and S(p') t...

    Text Solution

    |

  5. If each term of an infinite G.P. is twice the sum of the terms foll...

    Text Solution

    |

  6. If |x|<1a n d|y|<1, find the sum of infinity of the following series:...

    Text Solution

    |

  7. Find the sum of n terms of the sequence (x+1/x)^2,(x^2+1/(x^2))^2,(x^3...

    Text Solution

    |

  8. Find the sum to n terms of the sequence given by an=2^n,n in Ndot

    Text Solution

    |

  9. Sum the series : x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3+ ton terms.

    Text Solution

    |

  10. Find the sum of the following series : 0. 7+0. 77+0. 777+ ton term...

    Text Solution

    |

  11. The product of three numbers in G.P. is 216. If 2, 8, 6, be added to ...

    Text Solution

    |

  12. Find the sum of 10 terms of the G.P. 3, 6, 12,...

    Text Solution

    |

  13. In a G.P the sum of the first and last terms is 66, the product of the...

    Text Solution

    |

  14. If S1,S2a n dS3 be respectively the sum of n, 2n and 3n terms of a G....

    Text Solution

    |

  15. Determine the number of terms in G.P. if a1=3,an=96 and Sn=189.

    Text Solution

    |

  16. How many terms of the geometric series 1+4+16+64+ will make the sum 54...

    Text Solution

    |

  17. Find the sum of an infinitely decreasing G.P. whose first term is equa...

    Text Solution

    |

  18. If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...

    Text Solution

    |

  19. The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 ,...

    Text Solution

    |

  20. Which is the rational number having the decimal expansion 0.3 bar( 56)...

    Text Solution

    |