Home
Class 10
MATHS
Prove that the ratio of the areas of two...

Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION-C|5 Videos

Similar Questions

Explore conceptually related problems

Theorem 6.6 : The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

The ratio between the areas of two similar triangles is 16 : 25. Find the ratio between their : corresponding medians.

prove that The areas of the two similar triangles are in the ratio of the square of the corresponding medians.

The ratio between the altitudes of two similar triangles is 3 : 5, write the ratio between their : corresponding medians.

The area of two similar traingles are 25 sq cm and 121 sq cm. Find the ratio of their corresponding sides

The ratio between the areas of two similar triangles is 16 : 25. Find the ratio between their : corresponding altitudes.

If the areas of two similar triangles are equal, prove that they are congruent.

If the areas of two similar triangles are equal, prove that they are congruent.

The areas of two similar triangles are 9\ c m^2 and 16\ c m^2 respectively . The ratio of their corresponding sides is

If the altitude of two similar triangles are in the ratio 2:3 , what is the ratio of their areas?

X BOARD PREVIOUS YEAR PAPER ENGLISH-X Boards-All Questions
  1. All kings, queens are aces are removed from a pack of 52 cards. The ...

    Text Solution

    |

  2. Find the common difference of an A.P. whose first term is 5 and the su...

    Text Solution

    |

  3. Prove that the ratio of the areas of two similar triangles is equal ...

    Text Solution

    |

  4. Prove that the length of the tangents drawn from an external point to ...

    Text Solution

    |

  5. A hemispherical tank full of water is emptied by a pipe at the rate...

    Text Solution

    |

  6. From the top of a 7 m high building, the angle of elevation of the top...

    Text Solution

    |

  7. A milk container is made of metal sheet in the shape of frustum of ...

    Text Solution

    |

  8. If both roots of the equation x^2-(m+1)x+(m+4)=0 are negative then m e...

    Text Solution

    |

  9. If the common difference of an A.P. is 3, then a20 - a15 is

    Text Solution

    |

  10. In Figure 2, AB and AC are tangents to the circle with centre O such t...

    Text Solution

    |

  11. The perimeter (in cm) of a square circumscribing a circle of radius a ...

    Text Solution

    |

  12. The radius (in cm) of the largest right circular cone that can be cut ...

    Text Solution

    |

  13. A tower stands vertically on the ground. From a point on the ground...

    Text Solution

    |

  14. If P(a/2, 4) is the mid-point of the line-segment joining the points ...

    Text Solution

    |

  15. If A and B are the points (- 6, 7) and (-1, -5) respectively, then th...

    Text Solution

    |

  16. One card is drawn from a well-shuffled deck of 52 cards. Calculate ...

    Text Solution

    |

  17. Find the value of m so that the quadratic equation mx (x - 7) + 49 = 0...

    Text Solution

    |

  18. Find how many two-digit numbers are divisible by 6.

    Text Solution

    |

  19. In Figure 3, a circle touches all the four sides of a quadrilateral AB...

    Text Solution

    |

  20. Draw a line segment AB of length 7 cm. Using ruler and compasses, find...

    Text Solution

    |