Home
Class 9
MATHS
A triangle A B C is right angles at Adot...

A triangle `A B C` is right angles at `AdotA L` is drawn perpendicular to `B C` . Prove that `/_B A L=\ /_A C B`

Promotional Banner

Topper's Solved these Questions

  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA ENGLISH|Exercise All Questions|70 Videos

Similar Questions

Explore conceptually related problems

A triangle A B C is right angled at A. AL is drawn perpendicular to B C . Prove that /_B A L=/_A C Bdot

Triangle A B C is right angled at AdotA D is perpendicular to B Cdot If A B=5\ c m ,\ B C=13\ c m and A C=12\ c mdot Find the area of A B Cdot Also, find the length of A Ddot

A B C is a right triangle right-angled at Ca n dA C=sqrt(3)B C . Prove that /_A B C=60^0dot

In a triangle A B C , the angles at B and C are acute. If BE and CF be drawn perpendiculars on AC and AB respectively, prove that B C^2=A B*B F+A C*C Edot

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

If A B C is an isosceles triangle such that A B=A C and A D is an altitude from A on B C . Prove that (i) /_B=/_C (ii) A D bisects B C (iii) A D bisects /_A

If A B C and A M P are two right triangles, right angled at B and M respectively such that /_M A P=/_B A C . Prove that (C A)/(P A)=(B C)/(M P)

In Figure, A B C is a right triangle right angled at B and D is the foot of the the perpendicular drawn from B on A C . If D M_|_B C and D N_|_A B , prove that: (i) D M^2=D NxxM C (ii) D N^2=D MxxA N

In triangle A B C is right-angled at B . Given that A B=9cm ,\ A C=15 cm calculate B C .

A B C is a triangle right angled at B ; a n d\ P is the mid-point of A C . Prove that: P Q\ _|_A B (ii) Q is the mid point of A B P B=P A=1/2A C

RD SHARMA ENGLISH-TRIANGLE AND ITS ANGLES-All Questions
  1. A , B , C are the three angles of a triangle. If A-B=15^@,\ B-C=30^@...

    Text Solution

    |

  2. In Figure AB||DC , if x=(4y)/3 and y=(3z)/8, find /B C D ,/A B C and /...

    Text Solution

    |

  3. A triangle A B C is right angles at AdotA L is drawn perpendicular ...

    Text Solution

    |

  4. In the given figure , /Qgt/R, PA is the bisector of /QPR and PMbot QR....

    Text Solution

    |

  5. If two parallel lines are intersected by a transversal, prove that ...

    Text Solution

    |

  6. In Figure, T Q\ a n d\ T R are the bisectors of /Q\ a n d\ /R respecti...

    Text Solution

    |

  7. In Figure, m\ and\ n are two plane mirrors perpendicular to each oth...

    Text Solution

    |

  8. In △ A B C ,\ /B=45^0,\ /C=55^0 and bisector of /A meets B C at a poin...

    Text Solution

    |

  9. In Figure, prove that PM=PN= root 3 × a

    Text Solution

    |

  10. In a Triangle A B C , if /A=55^0,\ /B=40^0, find /C

    Text Solution

    |

  11. If the angles of a triangle are in the ratio 1:2:3, determine three...

    Text Solution

    |

  12. The angles of a triangle are (x-40)^0,\ (x-20)^0\ a n d\ (1/2x-10)^...

    Text Solution

    |

  13. The angle of a triangle are arranged in ascending order of magnitud...

    Text Solution

    |

  14. Two angles of a triangle are equal and the third angle is greater t...

    Text Solution

    |

  15. If one angle of a triangle is equal to the sum of the other two, sh...

    Text Solution

    |

  16. A B C is a triangle in which /A=72^0, the internal bisectors of ang...

    Text Solution

    |

  17. The bisectors of base angles of a triangle cannot enclose a right a...

    Text Solution

    |

  18. If the bisectors of the base angles of a triangle enclose an angle ...

    Text Solution

    |

  19. In a triangle A B C ,\ /A B C=\ /A C B and the bisectors of /A B C\ a...

    Text Solution

    |

  20. Can a triangle have: Two right angles? (ii) Two obtuse angles? Two acu...

    Text Solution

    |