Home
Class 10
MATHS
Two isosceles triangles have equal verti...

Two isosceles triangles have equal vertical angles and their areas are in the ratio 36 : 25. Find the ratio of their corresponding altitudes.

Text Solution

Verified by Experts

The correct Answer is:
`6 : 5`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise PRACTICE THOROUGHLY|20 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|37 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.6|15 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

The surface area of two sphere are in the ratio 16:9. Find the ratio of their volumes.

The volumes of two spheres are in the ratio 27:8. Find the ratio of their diameters.

Two complementary angles are in the ratio 4:5. Find the angles.

The surface areas of two spheres are in the ratio 1:4. Then, the ratio of their volumes is ........

The surface areas of two spheres are in the ratio 1:2. Then, the ratio of their volumes is ..........

The ratio of radi of two sphere is 2: 3 Find the ratio of their surface areas and volumes.

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 1 (1)/(2) thimes the corresponding sides of the isosceles triangle.

An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

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

ABC is an isosceles triangle right angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of Delta ABE and Delta ACD

KUMAR PRAKASHAN-TRIANGLES-TEST YOUR SKILLS
  1. In the given figure, if (EA)/(EC)=(EB)/(ED) prove that DeltaEAB ~ De...

    Text Solution

    |

  2. In the given figure, if (EA)/(EC)=(EB)/(ED) prove that AB||CD

    Text Solution

    |

  3. In the given figure, ABC and DBC are two triangles on the same base BC...

    Text Solution

    |

  4. In the given figure, DeltaABC is a right angled Deltawith /B= 90^(@) a...

    Text Solution

    |

  5. The areas of two similar triangles are 100 cm^(2)" and "49 cm^(2) resp...

    Text Solution

    |

  6. The areas of two similar triangles are 169 cm^(2)" and "121 cm^(2) res...

    Text Solution

    |

  7. ABC is a Deltaand PQ is a line intersecting AB at P and AC at Q. If AP...

    Text Solution

    |

  8. In DeltaPQR, /Q= 90^(@). Equilateral triangles APQ, BQR and CPR are de...

    Text Solution

    |

  9. Two isosceles triangles have equal vertical angles and their areas are...

    Text Solution

    |

  10. In DeltaABC, AD bot BC, point D lies on BC. If AC^(2)=CD*BD, prove tha...

    Text Solution

    |

  11. In the figure, AC is the length of a pole standing vertical on the gro...

    Text Solution

    |

  12. In DeltaABC, /A= 90^(@)" and "AD bot BC. Prove that (1)/(AD^2)=(1)/(AB...

    Text Solution

    |

  13. In an equilateral triangle with side a, prove that, the altitude is ...

    Text Solution

    |

  14. In an equilateral triangle with side a, prove that, the area of the ...

    Text Solution

    |

  15. BL and CM are medians of a DeltaABC right angled at A. Prove that 4(BL...

    Text Solution

    |

  16. ABC is a Deltain which /B gt 90^(@)" and "AD bot CB produced. Prove th...

    Text Solution

    |

  17. ABC is a Deltain which /B lt 90^(@)" and "AD bot CB. Prove that AC^(2...

    Text Solution

    |

  18. A ladder 15 m long reaches a window which is 9 m above the ground on o...

    Text Solution

    |

  19. Find the length of the longest stick that can be placed in a cuboidal ...

    Text Solution

    |

  20. The given figure shows the distances covered by Ariv from place a to p...

    Text Solution

    |