Home
Class 10
MATHS
ABC is an isosceles triangle right angle...

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

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos

  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

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 .

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

If angleC of the isosceles triangle ABC is measure 90^@ , then prove that AB^2=2AC^2 .

In Fig.6.53,ABD is a triangle right angle at A and AC_|_BD .Show that (i) AB^2=BC.BD .

If PB and AQ are the medians of a ∆ABC right angled at C. Prove that 4BP^2 = 4 BC^2 + AC^2

∆ABC is a right angled triangle right angled at A and AD _|_ BC . Prove that AD^2 = BD.CD .

ABC is a right angle triangle right angled at C. If cosec A = sqrt5 . Find the other trigonometrical ratios.

ABC is a right angle triangle right angled at C. If angle A= 60° and AC= 6cm . Find CB and AB.

ABC is a right angle triangle right angled at C. If AC =3 and AB:BC = 13:5, then find sinA and tanB.

If PB and AQ are the medians of a ∆ABC right angled at C. Prove that 4AQ^2 = 4 AC^2 + BC^2

R G PUBLICATION-TRIANGLES-EXERCISE
  1. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

    Text Solution

    |

  2. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

    Text Solution

    |

  3. ABC is an isosceles triangle right angled at C.Prove thatAB^2=2AC^2.

    Text Solution

    |

  4. ABC is an isosceles triangle with AC=BC.If AB^2=2AC^2.prove that ABC i...

    Text Solution

    |

  5. ABC is an equilateral triangle of sides 2a.Find each of its altitudes.

    Text Solution

    |

  6. Prove that the sum of the squares of the sides of a rhombus is equal t...

    Text Solution

    |

  7. In Fig.6.45,O is a point in the interior of a triangle ABC,OD|BC,OE|AC...

    Text Solution

    |

  8. Fig.6.45,O is a point in the interior of a triangle ABC,OD|BC,OE|AC an...

    Text Solution

    |

  9. A ladder 10 m long reaches a window 8m above the ground. Find the dist...

    Text Solution

    |

  10. A guy wire attached to a vertical pole of heigh 18 m is 24 m long and ...

    Text Solution

    |

  11. An aeroplane leaves an airport and flies due north at a speed of 1000 ...

    Text Solution

    |

  12. Two poles of heights 6 m and 11 m stand on a plane ground. If the dist...

    Text Solution

    |

  13. D and E are points on the sides CA and CB respectively of a triangle A...

    Text Solution

    |

  14. The perpendicular from A on side BC of atriangleABC intersects BC at ...

    Text Solution

    |

  15. In an equilateral triangle ABC, D is a point on side BC such that BD =...

    Text Solution

    |

  16. In an equilateral triangle, prove that three times the square of one s...

    Text Solution

    |

  17. Tick the correct answer and a justify :In triangleABC,AB=6sqrt3,AC=12c...

    Text Solution

    |

  18. In Fig.6.56,PS is the bisector of angleQPR of trianglePQR.Prove that (...

    Text Solution

    |

  19. In Fig.6.57, D is point on hypothenuse AC of triangleABC,such thatBD|A...

    Text Solution

    |

  20. In Fig.6.58, ABC is a triangle in which angleABC>90^@ and AD|CBproduce...

    Text Solution

    |