Home
Class 12
MATHS
In a triangle ABC, right angled at A ,th...

In a triangle `ABC`, right angled at `A` ,the altitude through `A` and internal bisector of `/_A` have lengths 3 and 4 respectively. Find the length of median through A. Given that `tan(A+B)=(tan A+tan B)/(1-tan A tan B),tan(A-B)=(tan A-tan B)/(1+tan A tan B)`

Text Solution

Verified by Experts

The correct Answer is:
24
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

  • FUNDAMENTAL OF MATHEMATICS

    RESONANCE|Exercise Exercise|138 Videos

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos

Similar Questions

Explore conceptually related problems

For all values of A and Btan(A+B)=(tan A+tan B)/(1-tan A tan B) and tan(A-B)=(tan A-tan B)/(1+tan A tan B)

if in triangle ABC right angled at C then tan A+tan B

Prove that (tan (AB) + tan B) / (1-tan (AB) tan B) = tan A

Prove that tan(A+B+C)=(tan A+tan B+tan C-tan A tan B tan C)/(1-tan A tan B-tan B tan C-tan C tan A)

(tan A+tan B-tan C+tan A tan B tan C)/(1-tan A tan B+tan B tan C+tan C tan A)

(tan A + tan B) / (tan (A + B)) + (tan A-tan B) / (tan (AB)) =

Prove that tan(A-B)=(tan A-tan B)/(1+tan A*tan B) , if A=60° & B=45°.

In a triangle ABC, right angled at C, find the value of tan A + tan B in terms of the sides a,b,c.

(tan A + tan B) / (tan A-tan B) = (sin (A + B)) / (sin (AB))

RESONANCE-GEOMETRY-Exercise-1 (Part-I: Previous Asked Question For Pre RMO)
  1. Two of the Geometry box tools are placed on the table as shown. Determ...

    Text Solution

    |

  2. Let AD be an altitude in a right triangle ABC with angleA=90^(@) and D...

    Text Solution

    |

  3. In triangle ABC right angled at vertex B, a point O is chosen on the s...

    Text Solution

    |

  4. The hexagon OLYMPl has a reflex angle at O and convex at every other v...

    Text Solution

    |

  5. Points G and O denote the centroid and the circumcenter of the triangl...

    Text Solution

    |

  6. Consider a right-angled triangle ABC and angleC=90^(@). Suppose that t...

    Text Solution

    |

  7. Consider a triangle ABC with AB=13, BC=14, CA=15. A line perpendicular...

    Text Solution

    |

  8. Suppose a circle C of radius sqrt2 touches the Y-axis at the origin (0...

    Text Solution

    |

  9. In a rectangle ABCD, E is the midpoint of AB, F is point on AC such th...

    Text Solution

    |

  10. Let P be an interior point of a triangle ABC whose side lengths are 26...

    Text Solution

    |

  11. Let ABCD be a rectangle and let E and F be points on CD and BC respect...

    Text Solution

    |

  12. Let AB and CD be two parallel chords in a circle with radius 5 such th...

    Text Solution

    |

  13. Let Omega(1) be a circle centre O and let AB be diameter of Omega(1). ...

    Text Solution

    |

  14. Consider the areas of the four triangles obtained by drawing the diago...

    Text Solution

    |

  15. In a quadrillateral ABCD, it is given that AB=AD=13, BC=CD=20, BD=24. ...

    Text Solution

    |

  16. Let ABCD be a trapezium in which AB||CD and AD bot AB. Suppose ABCD ha...

    Text Solution

    |

  17. A point P in the interior of a regular hexagon is at distance 8, 8, 16...

    Text Solution

    |

  18. Let AB be a chord of circle with centre O. Let C be a point on the cir...

    Text Solution

    |

  19. In a triangle ABC, the median from B to CA is perpendicular to the med...

    Text Solution

    |

  20. In a triangle ABC, right angled at A ,the altitude through A and inte...

    Text Solution

    |