Home
Class 10
MATHS
In the given figure, (AD)/(DB)=(AE)/(EC...

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

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (LONG ANSWER QUESTIONS)|15 Videos
  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos
  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (VERY SHORT ANSWER QUESTIONS)|14 Videos
  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos
  • VALUE-BASED QUESTIONS

    VK GLOBAL PUBLICATION|Exercise Unit-VII : (Statistics & Probability)|8 Videos

Similar Questions

Explore conceptually related problems

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

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

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

AD,BE and CF, the altitudes of ABC are equal.Prove that ABC is an equilateral triangle.

AD,BE and CF, the altitudes of ABC are equal.Prove that ABC is an equilateral triangle.

AD,BE and CF, the altitudes of ABC are equal.Prove that ABC is an equilateral triangle.

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

In the following figure O is the centre of the circel. If angleACB=60^(@) and DA=DB then prove that DeltaADB is an equilateral triangle.

VK GLOBAL PUBLICATION-TRIANGLES-PROFICIENCY EXERCISE (SHORT ANSWER TYPE QUESTIONS-II)
  1. A street light bulb is fixed on a pole 6 m above the level of the stre...

    Text Solution

    |

  2. In Fig.7.70, find angleE.

    Text Solution

    |

  3. D, E and F are respectively the mid-points of sides AB. BC and CA o...

    Text Solution

    |

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

    Text Solution

    |

  5. Prove that the sum of the squares of the sides of a rhombus is equa...

    Text Solution

    |

  6. In Fig. 3, ABC is a right triangle, right angled at C and D is the mi...

    Text Solution

    |

  7. In Fig, ABC is an isosceles triangle in which AB= AC.Eis a point on th...

    Text Solution

    |

  8. A D is an altitude of an equilateral triangle A B Cdot On A D as base,...

    Text Solution

    |

  9. In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...

    Text Solution

    |

  10. AB botBC and DE bot AC. Prove that DeltaABC ~ DeltaAED.

    Text Solution

    |

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

    Text Solution

    |

  12. E is a point on side A D produced of a parallelogram A B C D and...

    Text Solution

    |

  13. D and E are respectively the points on the sides AB and AC of a triang...

    Text Solution

    |

  14. If ABC is an equilateral triangle with each side a cm such that ADbotB...

    Text Solution

    |

  15. In A B C ,\ \ D E is parallel to base B C , with D on A B and E on...

    Text Solution

    |

  16. If E is a point on side r:A of an equilateral triangle ABC such that B...

    Text Solution

    |

  17. O is any point inside a rectangle ABCD. Prove that O B^2+O D^2=O A^2+...

    Text Solution

    |

  18. In the given figure, (AD)/(DB)=(AE)/(EC) and angle ADE=angleACB. Prov...

    Text Solution

    |

  19. In Fig. 4.72, A B C D . If O A=3x-19 ,\ \ O B=x-4 , O C=x-3 and O ...

    Text Solution

    |

  20. A B C is a triangle and P Q is a straight line meeting A B in P ...

    Text Solution

    |