Home
Class 10
MATHS
Let A B C D be a tetrahedron such that ...

Let `A B C D` be a tetrahedron such that the edges `A B ,A Ca n dA D` are mutually perpendicular. Let the area of triangles `A B C ,A C Da n dA D B` be 3, 4 and 5sq. units, respectively. Then the area of triangle `B C D` is a. `5sqrt(2)` b. `5` c. `(sqrt(5))/2` d. `5/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|390 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|154 Videos

Similar Questions

Explore conceptually related problems

Let A B C D be a tetrahedron such that the edges A B ,A C and A D are mutually perpendicular. Let the area of triangles A B C ,A C D and A D B be 3, 4 and 5sq . units , respectively. Then the area of triangle B C D is a. 5sqrt(2) b. 5 c. (sqrt(5))/2 d. 5/2

In two triangles A B C\ a n d\ A D C , if A B=A D\ a n d\ B C=C Ddot Are they congruent?

In an isosceles triangle A B C with A B=A C , B D is perpendicular from B to the side A C . Prove that B D^2-C D^2=2\ C D A D

The diagonals of quadrilateral A B C D ,\ A C\ a n d\ B D intersect in O . Prove that if B O=O D , the triangles A B C\ a n d\ A D C are equal in area.

Let D ,Ea n dF be the middle points of the sides B C ,C Aa n dA B , respectively of a triangle A B Cdot Then prove that vec A D+ vec B E+ vec C F= vec0 .

Let D ,Ea n dF be the middle points of the sides B C ,C Aa n dA B , respectively of a triangle A B Cdot Then prove that vec A D+ vec B E+ vec C F= vec0 .

The perpendicular A D on the base B C of a triangle A B C intersects B C at D so that D B=3C D . Prove that 2\ A B^2=2\ A C^2+B C^2 .

In Fig. , the area of A B C (in square units) is (a) 15 (b) 10 (c) 7.5 (d) 2.5

If the plane x/2+y/3+z/6=1 cuts the axes of coordinates at points, A ,B, and C , then find the area of the triangle A B C . a. 18 sq unit b. 36 sq unit c. 3sqrt(14) sq unit d. 2sqrt(14) sq unit

In a triangle \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M || B C . Prove that: a r\ (triangle \ L O B)=a r\ (triangle \ M O C)

RD SHARMA ENGLISH-REAL NUMBERS-All Questions
  1. Let a,b,c,k be rational numbers such that k is not perfect cube if a ...

    Text Solution

    |

  2. Prove that for any prime positive integer p ,sqrt(p) is an irrational ...

    Text Solution

    |

  3. Let A B C D be a tetrahedron such that the edges A B ,A Ca n dA D ar...

    Text Solution

    |

  4. 15 Pastries and 12 biscuit packets have been donated for a school fete...

    Text Solution

    |

  5. The length, breadth and height of a room are 8m and 25cm, 6m and 75cm ...

    Text Solution

    |

  6. Let a and b be positive integers. Show that sqrt2 always lies between...

    Text Solution

    |

  7. State whether the following are true or not: 3|93 (ii) 6|28 (iii) 0...

    Text Solution

    |

  8. State whether the following are true or not: -7|-35 (ii) 6|6 (iii) ...

    Text Solution

    |

  9. Show that every positive even integer is of the form 2q , and that ...

    Text Solution

    |

  10. Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...

    Text Solution

    |

  11. Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...

    Text Solution

    |

  12. Show that n^2-1 is divisible by 8, if n is an odd positive integer.

    Text Solution

    |

  13. Show that the square of any positive integer is of the form 3m or, ...

    Text Solution

    |

  14. Use Euclids division Lemma to show that the cube of any positive in...

    Text Solution

    |

  15. Prove that the product of two consecutive positive integers is divi...

    Text Solution

    |

  16. For any positive integer n , prove that n^3-n divisible by 6.

    Text Solution

    |

  17. Prove that if a positive integer is of the form 6q+5 , then it is o...

    Text Solution

    |

  18. Prove that the square of any positive integer of the form 5q+1 is o...

    Text Solution

    |

  19. Prove that the square of any positive integer is of the form 4q or ...

    Text Solution

    |

  20. Show that any positive odd integer is of the form 6q+1 or, 6q+3 or,...

    Text Solution

    |