Home
Class 9
MATHS
D is a point on the side BC of a triangl...

D is a point on the side BC of a triangle ABC such that `angleADC` = `angleBAC` . Show that `CA^2` = CB. CD.

A

5cm

B

9cm

C

8cm

D

10cm

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    MODERN PUBLICATION|Exercise EXERCISE|133 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|45 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|239 Videos

Similar Questions

Explore conceptually related problems

D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

M is a point on side BC of a triangle ABC such that AM is that bisector of angleBAC . Is it true to say that perimeter of the triangle is greater than 2AM? Give reasond for your answer.

In Fig. D is a point on side BC of triangleABC such that (BD)/(CD) = (AB)/(AC) . Prove that AD is the bisector of angleBAC .

In fig., D is a point on side BC of triangleABC such that (BD)/(DC)=(AB)/(AC) . Prove that, AD is bisector of angleBAC . .

D is any point on the base BC, produced of an isosceles triangle ABC, prove that AD>AB.

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE^2+BD^2=AB^2+DE^2 .

In fig., O is a point in the interior of a triangle ABC, OD bot BC, OE bot AC and OF bot AB. Show that:- AF^2+BD^2+CE^2=AE^2+CD^2+BF^2 . .

In the adjoining figure,D is a point on the side BC of triangle (ABC) . AD is joined .Name all the triangles that you can observe in the figure.How many are they?.

Triangle ABC and DBC are on the same base BC with A,D on opposite sides of line BC, such that ar(triangleABC) = ar(triangleDBC) . Prove that BC bisects AD.

D,E and F are the middle points of the sides of the triangle ABC, then

MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. Diagonals of a parallelogram ABCD intersects at O. if angleBOC=90^@ an...

    Text Solution

    |

  2. ABCD is a trapezium in which AB || DC. M and N are the mid-points of A...

    Text Solution

    |

  3. D is a point on the side BC of a triangle ABC such that angleADC = ang...

    Text Solution

    |

  4. In the figure ABCD is a parallelogram in which angleBDC=45^@ and angle...

    Text Solution

    |

  5. In the figure ABCD is a llgm and E is the mid point of BC. Also DE and...

    Text Solution

    |

  6. In a trapezium ABCD, if E and F be the mid points of the diagonals AC ...

    Text Solution

    |

  7. Two parallelograms are on equal bases andbetween the same parallels. T...

    Text Solution

    |

  8. If angles A, B, C and D of the quadrilateral ABCD, taken in order, are...

    Text Solution

    |

  9. Three angles of a quadrilateral are 75^@, 90^@ and 75^@. The fourth an...

    Text Solution

    |

  10. A diagonal of a rectangle is inclined to one side of the rectangle at ...

    Text Solution

    |

  11. ABCD is a rhombus such that /ACB = 40^@. Then /ADB is

    Text Solution

    |

  12. The quadrilateral formed by joining the mid-points of the sides of a q...

    Text Solution

    |

  13. The quadrilateral formed by joining the mid-points of the sides of a q...

    Text Solution

    |

  14. If angles A, B, C and D of the quadrilateral ABCD, taken in order, are...

    Text Solution

    |

  15. If bisectors of /A and /B of a quadrilateral ABCD intersect each other...

    Text Solution

    |

  16. If APB and CQD are two parallel lines, then the bisectors of the angle...

    Text Solution

    |

  17. The figure obtained by joining the midpoints of the sides of a rhombus...

    Text Solution

    |

  18. Dand E are the mid-points of the sides AB and AC of DeltaABC and O is ...

    Text Solution

    |

  19. The figure formed by joining the midpoints of the sides of a quadrilat...

    Text Solution

    |

  20. The diagonals AC and BD of a parallelogram ABCD intersect each other a...

    Text Solution

    |