Home
Class 10
MATHS
In the triangle ABC,AB=p^2-q^2,BC=p^2+q^...

In the `triangle ABC,AB=p^2-q^2,BC=p^2+q^2` and CA=2pq then prove that `triangleABC`is right angled.Which of the angles of the triangle is right angle?

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

In the triangle ABC, BC = m^2 -n^2 , AC =3 mn and AB = m^2+n^2 . Prove that it is a right angled triangle.

In the triangle ABC, BC+CA=m^2+2mn-n^2 , CA+AB=(m+n)^2 and AB+BC=2m^2 . Show that it is a right angled triangle.

The sides of a triangle measure 13 cm,12 cm,and 5 cm.prove that the triangle is right angled.

Choose the correct one If angles of a triangle are in A.P. then one of the angle is

If cot (A/2)=(b+c)/a.show that /_\ABC is right angled.

In an isosceles triangle ABC if AC=BC and AB^2 = 2AC^2 , prove that /_C is a right angle.

If Fig. 6.3 ,ABC and AMP are two right triangles right angled at B and M respectively.Prove that :(i) triangleABC~triangleAMP

If in triangle ABC , (a^2+b^2)sin(A-B)=(a^2-b^2)sin(A+B) ,show that the triangle is either'isosceles or right angled.

ABC is a right angle triangle right angled at C. If sin A = 3/5 find tanB.

In triangle ABC ,right-angled at B if tanA=1/sqrt3 ,find the value of:(ii)cosA cosC-sinA sinC

R G PUBLICATION-TRIANGLES-EXERCISE
  1. In the triangle ABC,AB=p^2-q^2,BC=p^2+q^2 and CA=2pq then prove that t...

    Text Solution

    |

  2. All circles are . (congruent, similar)

    Text Solution

    |

  3. All squares are -. (Similar, congruent)

    Text Solution

    |

  4. All triangles are similar. (isosceles, equilateral)

    Text Solution

    |

  5. Two polygons of the same number of sides are similar, if(a) their corr...

    Text Solution

    |

  6. Two polygons of the same number of sides are similar, if(b) their corr...

    Text Solution

    |

  7. Give two different examples of pair of(i) similar figures

    Text Solution

    |

  8. Give two different examples of pair of((ii) non-simiIar figures

    Text Solution

    |

  9. State whether foIIowing quadrilaterals are similar or not:

    Text Solution

    |

  10. In fig(i) ,DE||BC.Find EC in (i).

    Text Solution

    |

  11. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  12. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  13. E and F are points on the sides PQ and PR respectively of a trianglePQ...

    Text Solution

    |

  14. In Fig. , if LM||CB and LN||CD,prove that (AM)/(AB)=(AN)/(AD)

    Text Solution

    |

  15. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

    Text Solution

    |

  16. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

    Text Solution

    |

  17. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

    Text Solution

    |

  18. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

    Text Solution

    |

  19. Using Theorem 6.2, prove that the line joining the mid-points of any t...

    Text Solution

    |

  20. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

    Text Solution

    |

  21. The diagonals of a quadrilateral ABCD intersect each other at the poin...

    Text Solution

    |