Home
Class 12
MATHS
If 8R^(2)=a^(2) +b^(2) +c^(2). then prov...

If `8R^(2)=a^(2) +b^(2) +c^(2).` then prove that the `Delta` is right angled.

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 4|8 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 5|7 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 2|19 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

Let a<=b<=c be the lengths of the sides of a triangle.If a^(2)+b^(2)

If in a triangle ABC,(2cos A)/(a)+(cos B)/(b)+(2cos C)/(b)=(a)/(bc)+(b)/(ca), then prove that the triangle is right angled.

If in a ABC,cos^(2)A+cos^(2)B+cos^(2)C=1 prove that the triangle is right angled.

If r_1=r_2+r_3+r prove that the triangle is right angled .

In triangle ABC if 2sin^(2)C=2+cos2A+cos2B , then prove that triangle is right angled.

If in Delta ABC, 8R^(2) = a^(2) + b^(2) + c^(2) , then the triangle ABC is

If a^(2)+b^(2)+c^(2)=8R^(2), then the triangle is

In any triangle.i(a^(2)-b^(2))/(a^(2)+b^(2))=(sin(A-B))/(sin(A+B)), then prove that the triangle is either right angled or isosceles.

In a ABC,quad if sin^(2)A+sin^(2)B=sin^(2)C show that the triangle is right angled.

If in a hat harr ABC,(a^(2)-b^(2))/(a^(2)+b^(2))=(sin(A-B))/(sin(A+B)), prove that it is either a right angled or an isosceles triangle.

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise For Sesssion 3
  1. If the lengths of the side of a triangle are 3,4 and 5 units, then fin...

    Text Solution

    |

  2. In an equliateral triangle of side 2sqrt3 cm. The find circum-radius.

    Text Solution

    |

  3. If 8R^(2)=a^(2) +b^(2) +c^(2). then prove that the Delta is right angl...

    Text Solution

    |

  4. In a Delta ABC, show that 2R^(2) sin A sin B sin C=Delta.

    Text Solution

    |

  5. In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R...

    Text Solution

    |

  6. If the sides of a triangles are 3:7:8, then ratio R:r

    Text Solution

    |

  7. In an equilateral triangle show that the in-radius and the circum-radi...

    Text Solution

    |

  8. In any DeltaABC, find sin A+sin B+ sin C.

    Text Solution

    |

  9. In any Delta ABC, show that cos A+ cos B+ cos C = (1+ (r )/(R )).

    Text Solution

    |

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

    Text Solution

    |

  11. show that r(2)r(3) +r(3) r(1)+ r (1) r(2)=s^(2)

    Text Solution

    |

  12. Show that (r(1)+ r (2))(r (2)+ r (3)) (r(3)+r(1))=4Rs^(2)

    Text Solution

    |

  13. If r(1) +r(2)+ r = r(3), then show that Delta is right angled.

    Text Solution

    |

  14. In an equilateral triangle, the in-radius, circum-radius and one of th...

    Text Solution

    |

  15. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (1)))((1)/(r (3)...

    Text Solution

    |

  16. The exradii r(1), r(2), r(3)" of "DeltaABC and in HP, show that a,b an...

    Text Solution

    |

  17. In a DeltaABC, show that r(1)* r(2)* r(3)*r=Delta^(2).

    Text Solution

    |

  18. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  19. Show that, 4 R r cos ""A/2cos ""B/2 cos ""C/2 =Delta

    Text Solution

    |

  20. In Delta ABC, if (a-b)(s-c)=(b-c)(s-a) then r1, r2, r3 are in

    Text Solution

    |