Home
Class 9
MATHS
In A B C , side A B is produced to D so...

In ` A B C ,` side `A B` is produced to `D` so that `B D=B Cdot` If `/_B=60^0\ a n d\ /_A=70^0,` prove that: `A D > C D` (ii) `A D > A C`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos

  • CONSTRUCTION

    RD SHARMA|Exercise All Questions|29 Videos

Similar Questions

Explore conceptually related problems

In ABC, side AB is produced to D so that BD=b* If /_B=60^(0) and /_A=70^(0), prove that :AD>CDAD>AC

If a

In Fig.81, side B C of A B C has been produced to D and C E B Adot If /_A B C=65^0,\ /_B A C=55^0, find /_A C E ,\ /_E C D\ a n d\ /_A C Ddot

In Figure, it is given that A B=B C a n d A D=E Cdot Prove that a b e ~= C B D (ii) B D=B E

The side B C of A B C is produced to a point Ddot The bisector of /_A meets side B C in Ldot If /_A B C=30^0a n d /_A C D=115^0, then /_A L C= 85^0 (b) 72 1/2^0 (c) 145^0 (d) none of these

In a parallelogram A B C D , the diagonals bisect each other at Odot If /_A B C=30^0,\ /_B D C=10^0a n d\ /_C A B=70^0, Find: /_D A B ,\ /_A D C ,\ /_B C D ,\ /_A O D ,\ /_D O C ,\ /_B O C ,\ /_A O B ,\ /_A C D ,\ /_C A B ,\ /_A D B

In a A B C median A D is produced to X such that A D=D X . Prove that A B X C is a parallelogram.

D is a point on the side B C of A B Cdot A line P D Q , though D , meets side A C in P a n d A B produced at Q . If /_A=80^0, /_A B C=60^0 and /_P D C=15^0 find (i) /_A Q D (ii) /_A P Ddot

In Figure, A B C D is a trapezium in which A B||D C ,\ \ D C is produced to E such that C E=A B , prove that a r( A B D)=a r\ ( B C E)dot Construction: Draw D M\ on B A produced and B N_|_D C

In Figure, A B C D is a rectangle in which diagonal A C is produced to Edot If /_E C D=146^0, find /_A O B

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and sh...

    Text Solution

    |

  2. In a A B C , if /B=/C=45^0, which is the longest side?

    Text Solution

    |

  3. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

    Text Solution

    |

  4. Is it possible to draw a triangle with sides of length 2c m ,\ 3c m\...

    Text Solution

    |

  5. In A B C ,\ /B=35^0,/C=65^0 and the bisector of /B A C meets B C in P...

    Text Solution

    |

  6. O is any point in the interior of A B Cdot Prove that A B+A C > O ...

    Text Solution

    |

  7. Prove that the perimeter of a triangle is greater than the sum of it...

    Text Solution

    |

  8. Prove that in a quadrilateral the sum of all the sides is greater t...

    Text Solution

    |

  9. In Figure, prove that C D+D A+A B+B C >2A C C D+D A+A B+B C >2A C

    Text Solution

    |

  10. Which of the following statements are true (T) and which are false ...

    Text Solution

    |

  11. Fill in the blanks to make the following statements true: In a righ...

    Text Solution

    |

  12. In two congruent triangles A B C\ a n d\ D E F , if A B=D E\ a n d\...

    Text Solution

    |

  13. In two triangles A B C\ a n d\ D E F , it is given that /A=/D ,\ /B=/E...

    Text Solution

    |

  14. If A B C\ a n d\ D E F are two triangles such that A C=2. 5\ c m ,\...

    Text Solution

    |

  15. In two triangles A B C\ a n d\ A D C , if A B=A D\ a n d\ B C=C Ddot A...

    Text Solution

    |

  16. In triangle A B C\ a n d\ C D E , if A C=C E ,\ B C=C D ,\ /A=60^0,\ /...

    Text Solution

    |

  17. A B C is an isosceles triangle in which A B=A CdotB E\ a n d\ C F a...

    Text Solution

    |

  18. Find the measure of each angle of an equilateral triangle.

    Text Solution

    |

  19. C D E is an equilateral triangle formed on a side C D of a square A ...

    Text Solution

    |

  20. Show that the sum of the three altitudes of a triangle is less than ...

    Text Solution

    |