Home
Class 10
MATHS
ABC is a right angled triangle whose ang...

ABC is a right angled triangle whose `angleA = 90^@`, AD is perpendicular on BC. Prove that `(area of triangleABC)/(area of triangleACD) = (BC^2)/(AC^2)`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    UNITED BOOK HOUSE|Exercise Exercise |53 Videos

  • RAMAKRISHNA MISSION VIDYALAYA, NARENDRAPUR

    UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

In right angled triangle ABC , /_A is a right angle. AD is perpendicular on the hypotenuse BC . Prove that (DeltaABC)/(DeltaACD)=(BC^(2))/(AC^(2)) .

In Delta ABC, /_A is a right angle and AO is perpendicular to BC. Prove that AO^(2) = BO.CO .

ABC is an equilateral triangle. AD is perpendicular to BC. Prove that AB^(2) + BC^(2) + CA^(2) =4AD^(2)

In a right-angled trigangle /_A is a right-angle and AO is perpendicular to BC at the point O . Prove that AO^(2)=BOxxCO .

Answer any One question : In triangleABC , AD is perpendicular on BC and AD^2 = BD . DC, prove that angleBAC is a right angle.

In a right angled triangleABC, triangleABC = 90^@ , BN is perpendicular to Ac, AB = 6 cm, AC = 10 cm. Then AN : NC is___

In the isosceles triangle ABC, AB=AC and BE is perpendicular to AC from B. Prove that BC^(2) = 2ACxxCE

O is the circumcentre of Delta ABC and OD is perpendicular on the side BC, prove that angle BOD= angle BAC

Draw a right angled triangleABC . Such that angleBAC = 90^@ , BC =8cm and angleACB = 45^@ .

UNITED BOOK HOUSE-QUESTION PAPER 2020-Exercise
  1. Three friends invested ₹ 1,20,000, ₹ 1.50,000 and ₹ 1,10,000 respectiv...

    Text Solution

    |

  2. Answer any one question : Solve 1/x -3 - 1/x + 5 = 1/6.

    Text Solution

    |

  3. The product of two consecutive positive odd numbers is 143 Construct t...

    Text Solution

    |

  4. Answer any one question : x = 2 + sqrt3 and x + y = 4, then find the s...

    Text Solution

    |

  5. If a prop b and b prop c, then prove that a^3 + b^3 + c^3 prop 3abc.

    Text Solution

    |

  6. Answer any one question : If x : a = y : b = z : c, then show that (x^...

    Text Solution

    |

  7. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

    Text Solution

    |

  8. Answer any one question : Prove that angles in the same segment of a c...

    Text Solution

    |

  9. Prove that if two tangents are drawn to a circle from a point outside ...

    Text Solution

    |

  10. Answer any one question : Two circle intersect each other at the point...

    Text Solution

    |

  11. ABC is a right angled triangle whose angleA = 90^@, AD is perpendicula...

    Text Solution

    |

  12. Draw the mean proportional of line segments of lengths 4 cm and 3 cm.

    Text Solution

    |

  13. Draw a circle of radius 3 cm. Construct a tangent to the circle at a p...

    Text Solution

    |

  14. Answer any two questions : If sin 17^@ = x/y, show that sec 17^@ - sin...

    Text Solution

    |

  15. If the sum of two angles is 135^@ and their difference is Pi/2, then t...

    Text Solution

    |

  16. The length of outer and inner radii of a hollow right circular pipe ar...

    Text Solution

    |

  17. A hemispherical bowl with radius of 9 cm is completely filled with wat...

    Text Solution

    |

  18. The diameter of the base of a right circular cone is 21 metres and hei...

    Text Solution

    |

  19. Find the median of given data :

    Text Solution

    |

  20. Find the mode of data from the following frequency distribution table ...

    Text Solution

    |