Home
Class 10
MATHS
In two similar triangles A B C and P Q...

In two similar triangles `A B C` and `P Q R` , if their corresponding altitudes `A D` and `P S` are in the ratio 4:9, find the ratio of the areas of triangle ` A B C` and triangle ` P Q R` .

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio of their areas.

Points A, B, C lie on the parabola y^2=4ax The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangle ABC and triangle PQR

If the areas of two similar triangles A B C and P Q R are in the ratio 9: 16 and B C=4. 5 c m , what is the length of Q R ?

The perimeters of two similar triangles A B C and P Q R are respectively 36cm and 24cm. If P Q=10 c m , find A B .

Corresponding sides of two similar triangles are in the ratio 1:3 . If the area of the smaller triangle in 40\ c m^2 , find the area of the larger triangle.

The areas of two similar triangles A B C and P Q R are in the ratio 9: 16 . If B C=4. 5 c m , find the length of Q R .

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle P B Q)=\ a r\ (triangle \ A R C)

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ (triangle \ P R Q)=1/2a r\ (triangle \ A R C) .

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle R Q C)=3/8\ a r\ (triangle \ A B C) .

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. A B C is right angled at C and D E|A B . Prove that A...

    Text Solution

    |

  2. If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ...

    Text Solution

    |

  3. In two similar triangles A B C and P Q R , if their corresponding ...

    Text Solution

    |

  4. If ΔA B C ∼ ΔD E F such that area of ΔA B C is 9\ c m^2 and the ...

    Text Solution

    |

  5. In Fig. 4.166, P B and Q A are perpendiculars to segment A Bdot ...

    Text Solution

    |

  6. Prove that the area of the equilateral triangle described on the si...

    Text Solution

    |

  7. In Fig. 4.170, A B C D is a trapezium in which A B∥ D C and A B=2...

    Text Solution

    |

  8. D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B resp...

    Text Solution

    |

  9. D and E are points on the sides A B and A C respectively of a A...

    Text Solution

    |

  10. Two isosceles triangles have equal vertical angles and their areas ...

    Text Solution

    |

  11. In Fig. 4.176, X Y|| A C and X Y divides triangular region A B C ...

    Text Solution

    |

  12. Triangles A B C and D E F are similar. If area ( A B C)=16\ c m^2 ,...

    Text Solution

    |

  13. Triangles A B C and D E F are similar. If area ( A B C)=36\ c m^2 ,...

    Text Solution

    |

  14. In Fig. 4.177, A C B ∼ A P Q . If B C=10 c m , P Q=5c m , B A=6. 5...

    Text Solution

    |

  15. The areas of two similar triangles are 81\ c m^2 and 49\ c m^2 resp...

    Text Solution

    |

  16. The areas of two similar triangles are 169\ c m^2 and 121\ c m^2 re...

    Text Solution

    |

  17. Two isosceles triangles have equal vertical angles and their areas ...

    Text Solution

    |

  18. The areas of two similar triangles are 25\ c m^2 and 36\ c m^2 resp...

    Text Solution

    |

  19. The corresponding altitudes of two similar triangles are 6 cm and 9...

    Text Solution

    |

  20. A B C is a triangle in which /A=90^o,\ \ A N|B C ,\ \ B C=12 c m and...

    Text Solution

    |