Home
Class 10
MATHS
Show that in right angled triangle, the ...

Show that in right angled triangle, the hypotenuse is the longest side.

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME

    CHETANA PUBLICATION|Exercise EXAMPLE|19 Videos

  • TRIGONOMETRY

    CHETANA PUBLICATION|Exercise EXAMPLE|125 Videos

Similar Questions

Explore conceptually related problems

To construct a right angled triangle given the hypotenus and one side.

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

In a right angled triangle ABC, the hypotenuse AB =p, then vec(AB).vec(AC) + vec(BC).vec(BA)+vec(CA).vec(CB) is equal to:

Which theorem do we use in proving that hypotenuse is the longest side of a right angled traingle?

In a right angled triangle, the acute angles are in the ratio 4:5.Find the angles of the triangle in degree and radian.

Draw an obtuse angled triangle and a right angled triangle. Find the point of concurrence of the angle bisectors of each triangle. Where does the point of concurrence lie?

What is the length of the hypotenuse, if the lengths of the sides of a triangle forming a right angle are 6 cm and 8 cm respectively ?

If the sum of the length of the hypotenuse and another side of a right angled triangle is l, show that the area of the triangle is maximum when the angle between them is 60^o .

CHETANA PUBLICATION-TRIANGLES-EXAMPLE
  1. In triangle PQR,/Q=90^@ and segment QM is median on hypotenuse PR. If ...

    Text Solution

    |

  2. In triangle LMN, LM=5cm, MN=3 cm and LN=4cm. Find biggest and smallest...

    Text Solution

    |

  3. If triangle PQR ~ triangle XYZ, then write ratios of corresponding sid...

    Text Solution

    |

  4. In triangle ABC, /A=70^@,/B=40^@. Side BC is extended to point D. Find...

    Text Solution

    |

  5. In triangle PQR, /P=60^@,/Q=95^@, then write names of longest and the ...

    Text Solution

    |

  6. triangle ABC ~ triangle PQR.Then,complete the following ABPQ=BC/ =/PR.

    Text Solution

    |

  7. In triangle XYZ and triangle LMN, /X =/L,/Y=/M, then by which test tri...

    Text Solution

    |

  8. triangle ABC ~triangle PQR. Write ratios of corresponding sides.

    Text Solution

    |

  9. Write Side-Angle-Side (SAS) test of congruency.

    Text Solution

    |

  10. In triangle ABC,/A=30^@,/B=90^@,/C=60^@.Write lengths of sides opposit...

    Text Solution

    |

  11. 3 angles of triangle are x^@,3x^@,5x^@. Find measures of each angle.

    Text Solution

    |

  12. In triangle PQR, /Q=25^@, /R=120^@. Find /P and give reason.

    Text Solution

    |

  13. triangle PQR ~ triangle XYZ./P=60^@,/Q=40^@. Find /Z.

    Text Solution

    |

  14. triangle ABC ~ triangle PQR. AB=8 ,BC=10, AC=9, PQ=12. Find PR and QR.

    Text Solution

    |

  15. In triangle ABC, /A=30^@, /B=90^@, /C=60^@. AC=18. Find AB and AC.

    Text Solution

    |

  16. Ratio of 3 angles of a triangle are 3:4:5. Find each angle.

    Text Solution

    |

  17. In Quadrilateral ABCD, AB=AD, AC bisects /A. Prove that Delta ABC ~= D...

    Text Solution

    |

  18. Prove that equilateral triangle is equiangular.

    Text Solution

    |

  19. Show that in right angled triangle, the hypotenuse is the longest side...

    Text Solution

    |