Home
Class 10
MATHS
A B C is a right triangle right-angled a...

`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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In Figure, A B C is a right triangle right angled at B and points Da n dE trisect B C . Prove that 8A E^2=3A C^2+5A D^2dot

A B C is an isosceles right triangle right-angled at C . Prove that A B^2=2A C^2 .

ABC is an isosceles right triangle, right-angled at C . Prove that: A B^2=2A C^2dot

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

A B C is a right triangle right-angled at A and A D_|_B C . Then, (B D)/(D C)= mm (a) ((A B)/(A C))^2 (b) (A B)/(A C) (c) ((A B)/(A D))^2 (d) (A B)/(A D)

In a right triangle ABC, right angled at C, if a = 7 cm and b = 7 sqrt(3) cm, then angleA =

In the given figure, Delta A B C is a right triangle right angled at A . D lies on B A produced and D E_|_B C , intersecting A C at F . if /_A F E=130^0, find (i) /_B D E (ii) /_B C A (iii) /_A B C

A B C is a right triangle right-angled at C . Let B C=a ,\ \ C A=b ,\ \ A B=c and let p be the length of perpendicular from C on A B , prove that (i) c p=a b

Construct a right triangle, right angled at C in which A B=5. 2"\ "c m and B C=4. 6\ c mdot

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

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. A B C is a right triangle right-angled at Ca n dA C=sqrt(3)B C . Prove...

    Text Solution

    |

  2. If A be the area of a right triangle and b one of the sides containing...

    Text Solution

    |

  3. In an equilateral triangle A B C if A D|B C , then A D^2 = (a)C D^...

    Text Solution

    |

  4. If a perpendicular is drawn from the vertex containing the right angle...

    Text Solution

    |

  5. Prove that the line segments joining the mid-points of the sides of a ...

    Text Solution

    |

  6. If a perpendicular is drawn from the vertex containing the right angle...

    Text Solution

    |

  7. In a right triangle A B C right-angled at B , if P a n d Q are points ...

    Text Solution

    |

  8. The diagonal B D of a parallelogram A B C D intersects the segment A E...

    Text Solution

    |

  9. ABC is a triangle in which AB = AC and D is a point on AC such that ...

    Text Solution

    |

  10. Two poles of height a metres and b metres are p metres apart. Prove th...

    Text Solution

    |

  11. In a triangle A B C , let P and Q be points on AB and AC respectively...

    Text Solution

    |

  12. A B C is an isosceles triangle with A B=A C and D is a point on A C su...

    Text Solution

    |

  13. If A B C D is quadrilateral and E and F are the mid-points of AC and B...

    Text Solution

    |

  14. Through the mid-point M of the side C D of a parallelogram A B C D , t...

    Text Solution

    |

  15. In a A B C ,D and E are points on sides A B a n d A C respectively su...

    Text Solution

    |

  16. Let A B C be a triangle and D and E be two points on side A B such tha...

    Text Solution

    |

  17. The side B C of a triangle A B C is bisected at D ; O is any point in ...

    Text Solution

    |

  18. In Figure, A B C is a triangle in which A B=A Cdot Point D and E are p...

    Text Solution

    |

  19. The bisector of interior angleA of triangleABC meets BC and D and the ...

    Text Solution

    |

  20. In three line segments OA ,OB and OC , point L ,M ,N respectively are ...

    Text Solution

    |