Home
Class 10
MATHS
In the figure, angle D = angle E " and "...

In the figure, `angle D = angle E " and " (AD)/(DB) = (AE)/(EC)`, prove that BAC is an isosceles triangle.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|10 Videos
  • TRIANGLES

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-I) TYPE QUESTIONS|30 Videos
  • SURFACE AREAS AND VOLUMES

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|30 Videos

Similar Questions

Explore conceptually related problems

In the figure, angle D = angle E and (AD)/(DB) = (AE)/(EC) , prove that Delta BAC is an isosceles triangle

In the given figure , if AB = BC , angle BAD = angle CAE then prove that triangle ADE is an isosceles triangle .

In the given figure, (AD)/(DB)=(AE)/(EC) and angle ADE=angle ACB . Prove that Delta ABC is an isosceles triangle.

In the figure DE is parallel to BC and (AD)/(DB) = 2/3 if AE = 3.7 cm find EC.

In the given figure angle ABC = angle BAC , D and E are pointts on BC and AC respectively such that DB = AE . If AD and BE intersect at O then prove that OA = OB

In the given figure,AD = AE and AD^(2)=BD xx EC prove that: triangles ABD and CAE are similar.

In the given figure , C is the midpoint of AB , if angle DCA = angle ECB and angle DBC = angle EAC , Prove that DC = EC and BD = AE

In Fig.4.31, if (AD)/(DC)=(BE)/(EC) and /_CDE=/_CED, prove that CAB is isosceles.(FIGURE)

In the given figure, DE||BC and (AD)/(DB)=2/3 if AE=3.7 cm , find EC.

In Figure,AD=AE and D and E are points on BC such that BD=EC .Prove that AB=AC

EDUCART PUBLICATION-TRIANGLES-SHORT ANSWER (SA-II) TYPE QUESTIONS
  1. Three 30^(@) - 60^(@) - 90^(@) set squares are set together as shown i...

    Text Solution

    |

  2. Three30^(@) - 60^(@) - 90^(@) set squares are set together as shown in...

    Text Solution

    |

  3. In the figure, angle D = angle E " and " (AD)/(DB) = (AE)/(EC), prove ...

    Text Solution

    |

  4. In a triangle ABC, B=90^@ and D is the mid-point of BC then prove that...

    Text Solution

    |

  5. Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQa...

    Text Solution

    |

  6. In figure , if ABabs()DC and AC, PQ intersect each other at the point ...

    Text Solution

    |

  7. BL and CM are medians of a triangle ABC right angled at A. Prove that...

    Text Solution

    |

  8. In the given figure, if DE |\| BC, then find the ratio of area of (tri...

    Text Solution

    |

  9. ABCD is a trapezium in which ABabs()DC and P,Q are points on AD and BC...

    Text Solution

    |

  10. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

    Text Solution

    |

  11. Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQa...

    Text Solution

    |

  12. In given figure, if angleACB=angleCDA,AC=8cm and AD=3 cm, then find BD...

    Text Solution

    |

  13. A 15 high tower casts a sshadow 24 long at a certain time at the same ...

    Text Solution

    |

  14. P and Q are points on the sides C A and C B respectively of A B...

    Text Solution

    |

  15. If the areas of two similar triangles are equal, prove that they ar...

    Text Solution

    |

  16. Find the length of PQ and PR,

    Text Solution

    |

  17. If six trees are to be planted along each tangential line segments at ...

    Text Solution

    |

  18. In Delta ABC, D, E, F are respectively the mid points of the sides AB...

    Text Solution

    |

  19. Prove that the area of an equilateral triangle described on one sid...

    Text Solution

    |

  20. A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of ...

    Text Solution

    |