Home
Class 9
MATHS
Triangle ABC' is a right angled triangl...

Triangle ABC' is a right angled triangle with 'angle B=90degree.' The altitude through B meets AC at D. Prove that the three triángles 'triangle ABC, triangle ADB, triangle BCD' 'are similar.

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    V PUBLICATION|Exercise QUESTIONBANK|36 Videos
  • STATISTICS

    V PUBLICATION|Exercise QUESTIONBANK|39 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC , prove that sinA=sin(B+C)

Consider a triangle whose sides are along x+y = 2, 3x-4y = 6 and x-y = 0 .Prove that the triangle is right angled

ABC is a right angled isosceles triangle with angle B = 90 ^(@) . If D is a point on AB so that angle CDB = 15^(@) and , if AD = 35 Cm, then CD is equal to:

In triangle 'ABC, angle B=90 degree and 'BD' is perpendicular to AC. a) If 'angle A=x degree, write the angles of triangles 'ABD' 'and 'BDC'. b) Prove that '(BD)^2=AD X CD'.

In the picture A B C is an equilateral triangle. BC=5cm. Find the area of triangle BCD.

V PUBLICATION-SIMILAR TRIANGLES-Question bank
  1. In 'triangle A B C, P' is any point in 'B Ci D, E, F' are midpoints of...

    Text Solution

    |

  2. In the figure AB is parallel to PQ. BC is parallel to BR. Prove that '...

    Text Solution

    |

  3. Triangle ABC' is a right angled triangle with 'angle B=90degree.' The...

    Text Solution

    |

  4. In the figure 'B C'. is parallel to 'D E'. 'A B=6 ~cm, BD=3 ~cm' a) ...

    Text Solution

    |

  5. In the figure, 'angle dotA=angle P, angle B=angle Q1, A B=9' centimetr...

    Text Solution

    |

  6. In the figure, 'O' is the centre of the circle. 'angle P=angle R=90^(c...

    Text Solution

    |

  7. In the figure, 'angle A B C=angle A P B=90^(circ) .' a). How' many tr...

    Text Solution

    |

  8. In the figure 'angle B=angle D=90^(circ), angle B F E=65^(circ)' a) ...

    Text Solution

    |

  9. In the figure 'angle dotB=angle D=angle E C A=90^(circ)' 'B C=D C=4' c...

    Text Solution

    |

  10. 'A B' is the diameter of the circle. 'C D' is a chord perpendicular to...

    Text Solution

    |

  11. In rilateral 'A B C D, A B=4' centimetres, 'BC=3' centimetres, 'CD=2' ...

    Text Solution

    |

  12. In the figure, 'angle A D B=angle B C D'. Prove that 'A B xx A C=A D^2...

    Text Solution

    |

  13. In the figure a) How many xx the sides of the large triangle is long...

    Text Solution

    |

  14. In the figure, the sides AC and BC are extended to the points 'Q' and ...

    Text Solution

    |

  15. In the figure, the sides of triangle 'ABC' are 5 cenfinetres, 6 centim...

    Text Solution

    |

  16. In triangle 'ABC, angle B=90 degree and 'BD' is perpendicular to AC. ...

    Text Solution

    |

  17. In the figure, the lines 'A B' and 'C D' Intersect at the point 'P'. P...

    Text Solution

    |

  18. In the figure, the line 'D B' extended and the perpendicular to 'BC' a...

    Text Solution

    |

  19. a)Find out the angles of the triangles APC and BPC in the figure. '(#...

    Text Solution

    |

  20. PQR and XVZ are. angled triangles and 'O Q=8' centimetre. 1) Find- 'a...

    Text Solution

    |