Home
Class 10
MATHS
In a right angled triangle with sides...

In a right angled triangle with sides `a` and `b` and hypotenuse `c` , the altitude drawn on the hypotenuse is `x` . Prove that `a b=c x` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In a right angled with sides a and b and hypotenuse c, the altitude drawn on the hypotenuse is x. prove that ab=cx.

The area of a right angled triangle is 24 cm and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse is

A side of an isosceles right angled triangle is x. Find its hypotenuse.

Find the area of a right - angled triangle , the radius of whose circumcircle measures 8 cm and the altitude drawn to the hypotenuse measures 6 cm .

What is the area of a right-angled triangle, if the radius of the circumcircle is 5 cm and altitude drawn to the hypotenuse is 4 cm ?

Find the area of a right-angled triangle, if the radius of its circumcircle is 7.5 cm and the altitude drawn to the hypotenuse is 6 cm long.

A right angled triangle has legs 1 and x . The hypotenuse is y and angle opposite to the side x is theta . Shown as

RD SHARMA-TRIANGLES-All Questions
  1. In Fig. 4.137, A B Q R . Find the length of P B . (FIGURE)

    Text Solution

    |

  2. In Fig. 4.138, X Y B C . Find the length of X Y .

    Text Solution

    |

  3. In a right angled triangle with sides a and b and hypotenuse c ,...

    Text Solution

    |

  4. In Fig. 4.139, /A B C=90o and B D|A C . If B D=8c m , A D=4c m , fi...

    Text Solution

    |

  5. In Fig. 4.140, /A B C=90o and B D|A C . If A B=5. 7 c m , B D=3. 8\...

    Text Solution

    |

  6. In Fig. 4.141 D E B C such that A E=(1//4)A C . If A B=6c m , find...

    Text Solution

    |

  7. In Fig. 4.142, P A ,\ Q B and R C are each perpendicular to A C ...

    Text Solution

    |

  8. In Fig. 4.143, /A=/C E D , prove that C A B C E D . Also, ...

    Text Solution

    |

  9. The perimeters of two similar triangles are 25cm and 15cm respectiv...

    Text Solution

    |

  10. In A B C and D E F , it is being given that: A B=5c m ,\ \ B C=4c...

    Text Solution

    |

  11. D and E are the points on the sides A B and A C respectively of ...

    Text Solution

    |

  12. In A B C , A L and C M are the perpendiculars from the vertices A ...

    Text Solution

    |

  13. In Fig. 4.144, we have A B C D E F . If A B=6c m , C D=x\ c m , E...

    Text Solution

    |

  14. In Fig. 4.145, if A B|B C , D C|B C and D E|A C , prove that C ...

    Text Solution

    |

  15. In an isosceles A B C , the base A B is produced both the ways ...

    Text Solution

    |

  16. Diagonals A C and B D of a trapezium A B C D with A B D C intersec...

    Text Solution

    |

  17. If A B C and A M P are two right triangles, right angled at B and...

    Text Solution

    |

  18. A vertical stick of length 6m casts a shadow 4m long on the ground a...

    Text Solution

    |

  19. In Fig. 4.145 (a) A B C is right angled at C and D E|A B . Prov...

    Text Solution

    |

  20. If A B C D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ...

    Text Solution

    |