Home
Class 10
MATHS
In the picture, the small (blue) triangl...

In the picture, the small (blue) triangle is equilateral. The sides of the large (red) triangle are tangents tọ the circumcircle of the small triangleat its vertices.
'(##VPU_TTT_MAT_X_P02_C07_E03_002_Q01##)'
i) Prove that the large triangle is also equilateral and its sides.are double that of the small triangle.
ii) Draw-this picture, with sides. of the smaller triangle 3 centimetres.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|28 Videos
  • TRIGONOMETRY

    V PUBLICATION|Exercise QUESTION BANK|101 Videos

Similar Questions

Explore conceptually related problems

In this picture,the mid pointsof the sides of the large triangle are joined to make a small triangle inside. Calculate the coordinates of the vertices of the large triangle.

In the picture, the perpendicular is drawn from the midpoint of the hypotenuse of a right triangle. to the base. Calculate the length of the third side of the large right triangle and the lengths of all three sides of the small right triangle.

Prove that the.circumcentre of an equilateral triangle is the same as its centroid. i) Calculate the length of a side. of an equilateral triangle with vertices on a circle of diameter 1 ceritimetre. ii). Calculate the perimeter of such a triạngle.

a) Draw the 'x, y' axes and mark țe points 'A(-3,0), B(3,0)' b) Construct an equilateral triangle ABC with AB as one of its sides. c) Write' the coordinates of the third vertex of the equilateral triangle.

In the figure, A B C D E is a pentagon with all sides of the same length and all angles of the same size. The sides A B ." and AE extended, meet the side CDextended at P and Q . i). Are the sides of Delta BPC equal to 'the sides of Delta EQD? Why? ii) Are the side of AP and AQ of triangle APQ equal? Why?

V PUBLICATION-TANGENTS-QUESTION BANK
  1. In the figure, 'A C' and 'B C' are tangents to the circle from 'C'. Ce...

    Text Solution

    |

  2. Draw a circle of radius '2.5' centi-metres. Draw a triangle of angles ...

    Text Solution

    |

  3. In the picture, the small (blue) triangle is equilateral. The sides of...

    Text Solution

    |

  4. The picture shown the tangents at two points on a circle and the radii...

    Text Solution

    |

  5. Prove that the rilateral with sides as the tangents at the ends of a p...

    Text Solution

    |

  6. Cálculate the radius of the circle in which a tangent of length '12 cm...

    Text Solution

    |

  7. In the figure PA is a tangent and 'O' is the center of the circle. 'P ...

    Text Solution

    |

  8. Radius of an incircle to a triangle is 3 centimetres. Draw the equilat...

    Text Solution

    |

  9. The incircle of /\' ABC touches the sides of the triangle at 'P, Q, R'...

    Text Solution

    |

  10. In the picture, the sides of the large triangle are tangents to the ci...

    Text Solution

    |

  11. In the picture, the sides of the large triạngle are tangents of the ci...

    Text Solution

    |

  12. In the pictưre, PQ, RS, TU are tangents to the circuimcircle of '/\ AB...

    Text Solution

    |

  13. In the pleture, the tangent to the 'therefore' circumcircle of a regul...

    Text Solution

    |

  14. In the picture, a,triangle is förmed by two mutually perpendicular tan...

    Text Solution

    |

  15. The picture shows a triangle formed by three tangents to a circle. '...

    Text Solution

    |

  16. In the pictúre, two circles touch at a point and the common tangent at...

    Text Solution

    |

  17. In the picture below, 'AB' is a diameter and 'P' is a point on 'AB' ex...

    Text Solution

    |

  18. In the first picture below, the line joining: two points on a circle i...

    Text Solution

    |

  19. Draw a circle of radius 3 centimetres. a) Draw triangle, 'ABC' with t...

    Text Solution

    |

  20. In the figure two circles are miutually passing through 'A' and 'B '. ...

    Text Solution

    |