Home
Class 10
MATHS
ABC is an isosceles triangle with AC = B...

ABC is an isosceles triangle with AC = BC. If `AB^2` = `2AC^2`, prove that ABC is right triangle.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

ABC is an isosceles triangle right angled at C. Prove that AB^2 = 2AC^2 .

In Fig., E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD bot BC and EF bot AC, prove that triangleABD ~ triangle ECF. .

ABC is an isosceles triangle with AB=AC draw APbotBC to show that angleB=angleC

ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C .

ABC is an isosceles triangle with AB = AC and AD is one of its altitudes. Is triangleADB ~= triangleADC ? Why or why not?

ABC is an isosceles triangle with AB = AC.Take a trace-copy of ABC and also name it as ABC. Is angleB = angleC ? Why or why not?

ABC is an isosceles triangle in which AB = AC. If D and E are the mid-points of AB and respectively, prove that B,C,D and E are concyclic.

ABC is an isosceles triangle with AB = AC.Take a trace-copy of ABC and also name it as ABC. State the three parts of equal parts in triangleABC and triangleACB .

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that:- AD bisects angle A .

ABC is an isosceles triangle with AB = AC and AD is one of its altitudes. Is angleB = angleC ? Why or why not?

MBD-TRIANGLES-EXERCISE
  1. ABC is an isosceles triangle with AC = BC. If AB^2 = 2AC^2, prove that...

    Text Solution

    |

  2. Fill in the blank ,- The polygons of same number of sides are similar:...

    Text Solution

    |

  3. Fill in the blank ,- The polygons of same number of sides are similar:...

    Text Solution

    |

  4. Fill in the blank ,- All regular polygons of same number of sides are…...

    Text Solution

    |

  5. Fill in the blank ,- A polygon of 10 sides is ………… to a polygon of 11 ...

    Text Solution

    |

  6. In figure, DE is parallel to BC. If (AD)/(DB)=2/3 and AC:= 18 cm find ...

    Text Solution

    |

  7. Given angleABC and DE || BC AD = 4x - 3, DB = 3x - 1 AE = 8x - 7, EC =...

    Text Solution

    |

  8. M and N are points on the sides PQ and PR respectively of anglePQR. If...

    Text Solution

    |

  9. In figure AB = 6 cm, AH = 8 cm, CK = 2.4 cm, BC || HK, calculate AK. ...

    Text Solution

    |

  10. Points P, Q and R lie on sides BC, CA and AB respectively of triangle ...

    Text Solution

    |

  11. Infigure, if AB II DC,find the value of x . .

    Text Solution

    |

  12. In the given figure, DE || BC. If AD = 3.6 cm, AB = 9 cm and AE = 2.4 ...

    Text Solution

    |

  13. In the given figure, DE || BC. If (AD)/(DB)=3/5 AC = 5.6 cm, find AE....

    Text Solution

    |

  14. In the given figure, DE || BC. If AD = x cm, DB = (x - 2) cm, AE = (x...

    Text Solution

    |

  15. In the given figure, AB || PQ and AC || PR. Prove that BC || QR. .

    Text Solution

    |

  16. Examine each pair of triangles in figures and state which pair of tria...

    Text Solution

    |

  17. Examine each pair of triangles in figures and state which pair of tria...

    Text Solution

    |

  18. Examine each pair of triangles in figures and state which pair of tria...

    Text Solution

    |

  19. In fig., angleA=angle1 Prove that triangleBDE~triangleBCA . .

    Text Solution

    |

  20. In figure AB bot BC and DE bot AC. Prove that triangleABC ~ triangleAE...

    Text Solution

    |

  21. A vertical stick 20 cm long casts a shadow 6 cm long on the ground. At...

    Text Solution

    |