Home
Class 10
MATHS
In an isosceles triangle A B C with A B=...

In an isosceles triangle `A B C` with `A B=A C` and `B D_|_A Cdot` Prove that `B D^2-C D^2=2C DdotA Ddot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|154 Videos

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos

Similar Questions

Explore conceptually related problems

In /_\ A B C , given that A B=A C and B D_|_A C . Prove that B C^2=2\ A C * C D

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CxC Ddot Prove that B D=B C

A D and B E are respectively altitudes of an isosceles triangle A B C with A C=B C . Prove that A E=B Ddot

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CXC D . Prove that B D=B C .

In an isosceles triangle A B C with A B=A C , B D is perpendicular from B to the side A C . Prove that B D^2-C D^2=2\ C D A D

A B C is a triangle in which A B=A C and D is any point in B C . Prove that A B^2-A D^2=B D C D .

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

In Figure, A B C\ a n d\ D B C are two isosceles triangles on the same base B C such that A B=A C\ a n d\ D B=C Ddot Prove that /_A B D=\ /_A C D

\ ABC is an isosceles triangle with A B=A C . Side B A is produced to D such that A B=A D . Prove that /_B C D is a right angle.

In Figure, A B C is an isosceles triangle with A B=A C\ a n d\ m\ /_A B C=50^0dot Find m\ /_B D C\ a n d\ /_B E C

RD SHARMA ENGLISH-STATISTICS-All Questions
  1. The table below gives the distribution of villages under different ...

    Text Solution

    |

  2. Find the mean of the following frequency distribution: Class-interval...

    Text Solution

    |

  3. In an isosceles triangle A B C with A B=A C and B D|A Cdot Prove that ...

    Text Solution

    |

  4. If the pair of linear equations (3k+1)x+3y-2 =0 and (k^2+1)x+(k-2)y-5=...

    Text Solution

    |

  5. Draw the graphs of following equations: 2x-y=1a n dx+2y=13 find the s...

    Text Solution

    |

  6. The following table gives the production yield per hectare of wheat of...

    Text Solution

    |

  7. Evaluate: (secthetacos e c(90^0-theta)-tanthetacot(90^0-theta)+sin^2 5...

    Text Solution

    |

  8. If sectheta+tantheta=p , prove that sintheta=(p^2-1)/(p^2+1)

    Text Solution

    |

  9. Prove that in a triangle, if the square of one side is equal to the su...

    Text Solution

    |

  10. Prove that : (sectheta+tantheta-1)/(tantheta-sectheta+1)=(costheta)/(1...

    Text Solution

    |

  11. Find all zeros of the polynomial 2x^4+7x^3-19 x^2-14 x+30 , if two of ...

    Text Solution

    |

  12. Prove that the ratio of the areas of two similar triangles is equal ...

    Text Solution

    |

  13. What is the value of the median of the data using the graph in the ...

    Text Solution

    |

  14. A B Ca n d P Q R are similar triangles such that /A=32^0 and /R=65^0d...

    Text Solution

    |

  15. The value of p for which the polynomial x^2+4x^2-p x+8 is exactly divi...

    Text Solution

    |

  16. Which of the following real numbers when simplified are either termina...

    Text Solution

    |

  17. The value of [(secA+tanA)(1-sinA)] is equal to (a)tan^2A(b)sin^2A (c) ...

    Text Solution

    |

  18. If sinA+sin^2A=1, then the value of cos^2A+cos^4A is (a)2 (b) 1 (c) ...

    Text Solution

    |

  19. The value of k for which the pair of linear equation 4x+6y-1=0a n d2x+...

    Text Solution

    |

  20. The [HCF * L C M] for the numbers 50 and 20 is 10 (b) 100 (c) 100...

    Text Solution

    |