Home
Class 10
MATHS
The ratio of the corresponding altitudes...

The ratio of the corresponding altitudes of two similar triangles is `3/5`. Is it correct to say that ratio of their areas is `6/5`? Why?

Text Solution

AI Generated Solution

To solve the question, we need to determine if the ratio of the areas of two similar triangles can be expressed as \( \frac{6}{5} \) given that the ratio of their corresponding altitudes is \( \frac{3}{5} \). ### Step-by-Step Solution: 1. **Understanding the Given Information**: We know that the ratio of the corresponding altitudes of two similar triangles is given as: \[ \frac{AD}{PM} = \frac{3}{5} ...
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    NCERT EXEMPLAR|Exercise Surface Areas And Volumes|62 Videos

Similar Questions

Explore conceptually related problems

The ratio of the corresponding altitudes of two similar triangles is 2/5 . Is it correct to say that ratio of their areas is also 2/5 ? Why?

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

The ratio of corresponding sides of similar triangles is 3 : 5 , then what is the ratio of their areas.

If the ratio of the sides of two similar triangles is 3 : 5, then the ratio of their areas is :

If two corresponding sides of two similar triangles are in the ratio 9:4 , then what is the ratio of their areas?

If the ratio of the corresponding sides of two similar triangles is 2 : 3, then find the ratio of their corresponding attitudes.

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

If the ratio of corresponding sides of two similar triangles is 5 : 6, then find ratio of their areas.

The ratio of corresponding sides of similar triangles is 5 : 7 , then what is the ratio of their areas?

NCERT EXEMPLAR-TRIANGLES-Triangles
  1. Two sides and the perimeter of one triangle are respectively three tim...

    Text Solution

    |

  2. If in two right triangles, one of the acute angles of one triangle is ...

    Text Solution

    |

  3. The ratio of the corresponding altitudes of two similar triangles is 3...

    Text Solution

    |

  4. D is a point on side QR of DeltaPQR such that PDbotQR. Will it be corr...

    Text Solution

    |

  5. In figure, if angleD=angleC, then it is true that DeltaADE~DeltaACB? W...

    Text Solution

    |

  6. Is it true to say that, if in two triangles, an angle of one triangle ...

    Text Solution

    |

  7. In P Q R ,\ \ Q M|P R and PR^2-P Q^2=Q R^2.Prove that Q M^2=P MxxM R

    Text Solution

    |

  8. Find the value of x for which DEabs()AB in given figure.

    Text Solution

    |

  9. In figure, if angle1=angle2 and DeltaNSQ=DeltaMTR, then prove that Del...

    Text Solution

    |

  10. Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQa...

    Text Solution

    |

  11. In figure , if ABabs()DC and AC, PQ intersect each other at the point ...

    Text Solution

    |

  12. Find the altitude of an equilateral triangle of side 8 cm.

    Text Solution

    |

  13. If DeltaABC~DeltaDEF, AB=4cm, DE=6,EF=9 cm and FD=12 cm, then find the...

    Text Solution

    |

  14. In figure, if DEabs()BC, then find the ratio of ar (DeltaADE) and ar(D...

    Text Solution

    |

  15. ABCD is a trapezium in which ABabs()DC and P,Q are points on AD and BC...

    Text Solution

    |

  16. Corresponding sides of two triangles are in the ratio 2\ :3 . If th...

    Text Solution

    |

  17. In a Delta PQR, N is a point on PR, such that QNbotPR. If PNcdotNR=QN^...

    Text Solution

    |

  18. The areas of two similar triangles are 36\ c m^2 and 100\ c m^2 . I...

    Text Solution

    |

  19. In given figure, if angleACB=angleCDA,AC=8cm and AD=3 cm, then find BD...

    Text Solution

    |

  20. A 15 high tower casts a sshadow 24 long at a certain time at the same ...

    Text Solution

    |