Home
Class 12
MATHS
If c^(2) = a^(2) + b^(2), then prove tha...

If `c^(2) = a^(2) + b^(2)`, then prove that `4s (s - a) (s - b) (s - c) = a^(2) b^(2)`

A

` s^(4)`

B

`b^(2)c ^(2)`

C

`c^(2)a ^(2)`

D

`a ^(2)b ^(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 3|34 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 4|10 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 1|20 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

If a, b, c are in A.P., then prove that : (a-c)^2 =4(b^2 -ac) .

In any triangle ABC, prove that : a (b cos C-c cos B) = b^2 -c^2 .

If a,b,c are in HP, then prove that (a+b)/(2a-b)+(c+b)/(2c-b)gt4 .

If b^2+c^2, c^2+a^2, a^2+b^2 are in A.P. prove that : 1/(b + c), 1/(c + a), 1/(a + b) are also in A.P.

Prove that |{:((b+c)^(2), a^(2), bc),((c+a)^(2), b^(2), ca),((a+b)^(2), c^(2), ab):}|= (a-b) (b-c)(c-a)(a + b+c) (a^(2) + b^(2) + c^(2)) .

If A+B +C =2S, prove that : sin (S - A) + sin (S- B) + sin (S-C)-sinS= 4 sin frac (A)(2) sin frac (B)(2) sin frac (C)(2) .

If A+B+C=180^(@) , then prove that sin2A+sin2B+sin2C=4 sin A sin B sin C .

If A+B +C =2S, prove that : cos^2 S + cos^2 (S- A) + cos^2 (S-B)+ cos^2 (S -C) = 2 +2 cos A cos B cos C .

If A + B + C =180^@ , prove that : sin (B + 2C) + sin (C + 2A) + sin (A + 2B) = 4 sin frac (B-C)(2) sin frac (C-A)(2) sin frac (A-B)(2) .

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise For Sesssion 2
  1. If in a triangle ABC, (s-a)(s-b)= s(s-c), then angle C is equal to

    Text Solution

    |

  2. In any Delta ABC, If cot ""A/2 , cot ""B/2 ,cot ""C/2 are in AP, t...

    Text Solution

    |

  3. In any DeltaABC,("tan"(A)/(2)-"tan"(B)/(2))/("tan"(A)/(2)+"tan"(B)/(2)...

    Text Solution

    |

  4. Prove that bc cos^(2).(A)/(2) + ca cos^(2).(B)/(2) + ab cos^(2).(C)/(2...

    Text Solution

    |

  5. In a Delta ABC, if cos A+cos B=4 sin^(2)((C)/(2)), then a,b,c are in ...

    Text Solution

    |

  6. In a triangle ABC, if b^2 + c^2 = 3a^2, then cotB + cotC-cotA is equal...

    Text Solution

    |

  7. In any Delta ABC, ((b-c)/(a))cos^(2)((A)/(2))+((c-a)/(b))cos ^(2)((b )...

    Text Solution

    |

  8. In a DeltaABC, the tangent of half the difference of two angle is one-...

    Text Solution

    |

  9. If in a triangle a cos^(2).(C)/(2) + c cos^(2).(A)/(2) = (3b)/(2), the...

    Text Solution

    |

  10. In the adjacent figure 'P' is any interior point of the equilateral tr...

    Text Solution

    |

  11. If c^(2) = a^(2) + b^(2), then prove that 4s (s - a) (s - b) (s - c) =...

    Text Solution

    |

  12. The number of possible angle ABC in which BC =sqrt11cm, CA=sqrt13cm an...

    Text Solution

    |

  13. If two sides a, b and the angle A be such that two triangles are forme...

    Text Solution

    |

  14. If in a DeltaABC, sin A =sin^(2) B and 2 cos ^(2)A=3 cos ^(2) B, then ...

    Text Solution

    |

  15. If a cos A =b cos B, then the triange is

    Text Solution

    |

  16. Point D,E are taken on the side BC of an acute angled triangle ABC,, s...

    Text Solution

    |

  17. If the base angles of triangle are 22 1/2a n d112 1/2 , then prove tha...

    Text Solution

    |

  18. In a DeltaABC, a =1 and the perrimeter is six times the AM of the sine...

    Text Solution

    |

  19. In a DeltaABC, if median AD is perpendicular to AB, the tan A+2 tan B ...

    Text Solution

    |

  20. The product of the sines of the angles of a triangle is p and the prod...

    Text Solution

    |