Home
Class 10
MATHS
ABC is an isoscles triangle, right-angle...

ABC is an isoscles triangle, right-angled at C. Show that `AB^2=2AC^2`.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 11

    AGRAWAL PUBLICATION|Exercise EXERCISE|78 Videos
  • Sample paper 13

    AGRAWAL PUBLICATION|Exercise EXERCISE |30 Videos

Similar Questions

Explore conceptually related problems

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

ABC is an isosceles right triangle,right-angled at C. Prove that: AB^(2)=2AC^(2).

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

ABC is an isosceles right-triangle right angled at C such that AC=5cm .Then,AB=2.5cm(b)5sqrt(2)cm10cm(d)5cm

ABC is a isosceles right angled triangle, right angled at C. prove that AB^(2) = 2AC^(2)

In the given figure, triangle ABC is an isosceles triangle right angled at C with AC = 4 cm. Find the length of AB.

In Figure ABC is an isosceles triangle right angled at C with AC = 4 cm . Find the length of AB .

A statements of Assertion (A) is followed by a statement of Reason (R ). Mark the correct choice as. Assertion (A): ABC is an isoseles triangle right triangle , right angled at C. Then AB^(2) = 3AC^(2) . Reason (R ): In an isosceles triangle ABC if AC = BC and AB^(2) = 2AC^(2) then angle C = 90^(@) .

In the figure given below ABC is a triangle right angled at A and AC bot BD . Show that AB^(2) = BC xx BD

In the figure given below ABC is a triangle right angled at A and AC bot CD . Show that AC^(2) = BC xx DC

AGRAWAL PUBLICATION-SAMPLE PAPER 12-EXERCISE
  1. If P is the point (-cos theta, sin theta) , find the length of OP, whe...

    Text Solution

    |

  2. Find the smallest 4-digit number, which can be divided exactly by 24 a...

    Text Solution

    |

  3. ABC is an isoscles triangle, right-angled at C. Show that AB^2=2AC^2.

    Text Solution

    |

  4. State the SAS cirterion of similarity of triangles.

    Text Solution

    |

  5. If a metalic cube edge 1 cm is drawn into a wire of diameter 3.2 mm, t...

    Text Solution

    |

  6. If a cuibcal block of side 7 cm is surmounted by a hemisphere, then fi...

    Text Solution

    |

  7. If the n^(th) term of an A.P. is (3+n)/4, then find the common differe...

    Text Solution

    |

  8. If 3 sec A - 2 cos B = sqrt3 and B = 30^@, then find the value of A.

    Text Solution

    |

  9. If sin theta+sin^2 theta=1, then the value of cos^2 theta+cos^4 theta ...

    Text Solution

    |

  10. The perimeter of a rectangle is 82 m and its area is 400 m^(2). What i...

    Text Solution

    |

  11. What is the value of k for which the system of equations x + 2y - 3 = ...

    Text Solution

    |

  12. Solve for x: sqrt2x^2+7x+5sqrt2 = 0

    Text Solution

    |

  13. Find the distance between the points (0,5) and (-5,0).

    Text Solution

    |

  14. Which term of the A.P. 21,42,63, 84,….is 210?

    Text Solution

    |

  15. Solve for x and y: x-y = 3 and x+2y = 6

    Text Solution

    |

  16. Write a quadratic equation whose zeroes are -7 and 5.

    Text Solution

    |

  17. If sin theta = 12/13, find the value of : (sin^2theta- cos^2 theta)/(2...

    Text Solution

    |

  18. Find the area and perimeter of a sheet of a paper which is a sector o...

    Text Solution

    |

  19. If the perimeter of a circle and a square are equal, then what is the ...

    Text Solution

    |

  20. The two opposite verticles of a square (-1,2) and (3,2) . Find the coo...

    Text Solution

    |