Home
Class 11
MATHS
Let ABC be a triangle of area 24sq.units...

Let ABC be a triangle of area 24sq.units and PQR be the triangle formed by the mid-points of the sides triangle ABC. Then what is the area of triangle PQR.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Prove analytically that the area of a triangle is four times that of the triangle obtained by joining the mid - points of the sides of the given triangle .

ABC is an equilateral triangle. D and E are the mid-points of AB and AC. Then angleADE=

If in triangle ABC if acosA=bcosB then the triangle will be

Let PQR be a triangle of area Delta with a=2,b=7/2 and c=5/2 , where a,b and c are the lengths of the sides of the triangle opposite to the angles at P,Q and R respectively. Then ((2sinP-sin2P)/ (2sinP+sin2P)) equals

A triangle with equal sides has perimeter 9 cm. Then find the area of the triangle

In triangle ABC, If cos B= a/(2c) , then the triangle is-

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

ABDE is a parallelogram. F is the mid-point of ED. If the area of the triangle ABD be 20 sq.cm, find the area of DeltaAEF .

Consider the parabola y^2 = 8x. Let Delta_1 be the area of the triangle formed by the end points of its latus rectum and the point P( 1/2 ,2) on the parabola and Delta_2 be the area of the triangle formed by drawing tangents at P and at the end points of latus rectum. Delta_1/Delta_2 is :

The areas of a square of sides x and a triangle of base x are equal, then the height of the triangle is

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Evaluate cosacos2acos3a......... cos 999 a , where a=(2pi)/(1999)dot

    Text Solution

    |

  2. If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z)

    Text Solution

    |

  3. Let ABC be a triangle of area 24sq.units and PQR be the triangle forme...

    Text Solution

    |

  4. Find the number of pairs of integer (x , y) that satisfy the followin...

    Text Solution

    |

  5. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

    Text Solution

    |

  6. Let A D be a median of the A B Cdot If A Ea n dA F are medians of ...

    Text Solution

    |

  7. Find the value of cos12^0+cos84^0+cos156^0+cos132^0

    Text Solution

    |

  8. If no solution of 3siny+12sin^3x=a lies on the line y=3x , then a in ...

    Text Solution

    |

  9. If in a triangle P Q R ,sinP ,sinQ ,sinR a r e i n AdotPdot , then ...

    Text Solution

    |

  10. Find the angle theta whose cosine is equal to its tangent.

    Text Solution

    |

  11. If sin^2x-2sinx-1=0 has exactly four different solutions in x in [0,np...

    Text Solution

    |

  12. If in a triangle the angles are in the ratio as 1:2:3 , prove that the...

    Text Solution

    |

  13. A balloon is observed simultaneously from three points A, B and C on a...

    Text Solution

    |

  14. A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (...

    Text Solution

    |

  15. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  16. Prove that tan(pi/10) is a root of polynomial equation 5x^4-10 x^2+1=0...

    Text Solution

    |

  17. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then

    Text Solution

    |

  18. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

    Text Solution

    |

  19. sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R , (a) hold...

    Text Solution

    |

  20. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |