Home
Class 12
MATHS
Prove that : (r1+r2) tan (C )/(2) = (r3-...

Prove that : `(r_1+r_2) tan (C )/(2) = (r_3- r) cot ( C)/(2) = c`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL I)|4 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

Prove that : (r_1-r)/(a) +(r_2-r)/(b) = (c )/(r_3) .

Show that r_(1)+r_(2)=c cot ((C)/(2))

Prove that r_(1) r_(2) + r_(2) r_(3) + r_(3) r_(1) = (1)/(4) (a + b + c)^(2)

Show that r_(1)+r_(2)=c cot((C)/(2))

Prove that (r+r_(1))tan((B-C)/(2))=(r+r_(2))((tan(C-A))/(2))=(r+r_(3))((tan(A-B))/(2))

Prove that (r_(1)+r_(2))/(1+cos C)=2R

Prove that (r_(1) -r)/(a) + (r_(2) -r)/(b) = (c)/(r_(3))

Prove that : (r_1)/(b c)+(r_2)/(c a)+(r_3)/(a b)=1/r-1/(2R)

Prove that (r+r_(1))tan((B-C)/(2))+(r+r_(2))tan((C-A)/(2))+(r+r_(3))tan((A-B)/(2))=0

(r_(1)+r_(2))tan((C)/(2)) is equal to

MOTION-SOLUTION OF TRIANGLE-EXERCISE - 3
  1. In a scalene triangle ABC the altitudes AD & CF are dropped from the v...

    Text Solution

    |

  2. Prove that : (r1-r)/(a) +(r2-r)/(b) = (c )/(r3).

    Text Solution

    |

  3. Prove that : (r1+r2) tan (C )/(2) = (r3- r) cot ( C)/(2) = c

    Text Solution

    |

  4. Prove that 2R cos A = 2R + r - r(1)

    Text Solution

    |

  5. The triangle ABC is a right angled triangle, right angle at A. The rat...

    Text Solution

    |

  6. The radii r(1), r(2), r(3) of the escribed circles of the triangle ABC...

    Text Solution

    |

  7. Let a, b and c be the sides of a DeltaABC. If a^2, b^2 and c^2 are t...

    Text Solution

    |

  8. If D is the mid point of CA in triangle ABC and Delta is the area of t...

    Text Solution

    |

  9. Show that the radii of the three escribed circles of a triangle are ro...

    Text Solution

    |

  10. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

    Text Solution

    |

  11. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  12. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  13. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  14. A cyclic quadrilateral A B C D of areal (3sqrt(3))/4 is inscribed in u...

    Text Solution

    |

  15. If two times the square of the diameter of the circumcircle of a trian...

    Text Solution

    |

  16. In any triangle ABC, if (cos A + 2 cos C)/(cos A + 2 cos B) = (sin B)/...

    Text Solution

    |

  17. The triangle ABC (with side lengths a ,b ,c as usual) satisfies loga^2...

    Text Solution

    |

  18. ABC is a triangle. Circles with radii as shown are drawn inside the tr...

    Text Solution

    |

  19. a, b, c ar the length of sides BC, CA, AB respectively of DeltaABC sa...

    Text Solution

    |

  20. a, b, c ar the length of sides BC, CA, AB respectively of DeltaABC sa...

    Text Solution

    |