Home
Class 9
MATHS
In the following figure G, is centroid ...

In the following figure G, is centroid of the triangles ABC.

Prove that
Area `(Delta " AGB " )= (1)/(3) xx " Area " (Delta ABC)`

Promotional Banner

Topper's Solved these Questions

  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise STATISTICS |2 Videos
  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise MEAN AND MEDIAN |4 Videos
  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise RECTILINEAR FIGURES|4 Videos
  • AREA THEOREMS

    ICSE|Exercise Exercies 16(C )|22 Videos
  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise Graphical solution |10 Videos

Similar Questions

Explore conceptually related problems

The medians of Delta ABC intersect at point G. Prove that: area of Delta AGB = (1)/(3) xx " area of " Delta ABC

In the following figure, BL=CM Prove that AD is a Median of triangle ABC

In the following figure, BL = CM. Prove that AD is a median of triangle ABC.

In the adjoining figure, AD is the median of Delta ABC and X be any point on side AD. Prove that: area (Delta ABX) = " area " (Delta ACX)

In triangle ABC, D is a point in side BC such that 2BD=3DC . Prove that the area of triangle ABD = (3)/(5)xx "Area of" DeltaABC

In the adjoining figure, D is the mid-point of side AB of Delta ABC and P be any point on side BC. If CQ ||PD , then prove that: area of Delta BPQ = (1)/(2) xx " area of " Delta ABC

In the adjoning figure, D and E are the points on the sides AB and AC respectively of Delta ABC and area of Delta BCE = " area of " Delta BCD . Prove that DE ||BC

The base BC of triangle ABC is divided at D so that BD = (1)/(2) DC. Prove that area of DeltaABD=(1)/(3) of the area of DeltaABC .

In the given figure, DE is parallel to the base BC of triangle ABC and AD: DB = 5: 4. Find the ratio : ("Area of "DeltaDEF)/("Area of"Delta BFC)

If G be the centroid of a triangle ABC, prove that, AB^2 + BC^2 + CA^2 = 3(GA^2 + GB^2 + GC^2)

ICSE-CHAPTER REVISION (STAGE 2) -CONSTRUCTIONS OF POLYGONS
  1. Contruct a parallelogram in which diagonals are 6.5 cm and 4 cm lo...

    Text Solution

    |

  2. Contruct a square ABCD is which each side = 5 cm

    Text Solution

    |

  3. Contruct a square ABCD is which diagonals AC = 9 cm

    Text Solution

    |

  4. Contruct a rhombus ABCD is which each side = 6 cm angle B = 45^(@...

    Text Solution

    |

  5. Construct a rhombus ABCD in which AC = 5.6 cm and BD = 6.3 cm

    Text Solution

    |

  6. Contruct a rectangle ABCD with diagonal AC = 6.6 cm , side BC = 5.2 ...

    Text Solution

    |

  7. The following diagram shows two parallelogram ABCD and BEFG Prov...

    Text Solution

    |

  8. In the parallelogram ABCD , the side AB is produced to the point X.so...

    Text Solution

    |

  9. In the parallelogram ABCD , the side AB is produced to the point X.so...

    Text Solution

    |

  10. In the following figure G, is centroid of the triangles ABC. ...

    Text Solution

    |

  11. Use the informations given in the following figure to show that ar. (A...

    Text Solution

    |

  12. If each diagonals of a quadrilateral separates it into two triangle...

    Text Solution

    |

  13. ABCD , ABEF and AGHF are parallelogram Prove that the area of p...

    Text Solution

    |

  14. The area of the parallelogram ADFE is 275 cm ^(2) and AD = 12.5 ...

    Text Solution

    |

  15. Prove Equal chords of a circle subtend equal angles at the centre.

    Text Solution

    |

  16. A line segment AB is length 8 cm . Draw a circle of radius 5 cm tha...

    Text Solution

    |

  17. Two circles of radii 10 cm and 17 cm . Intersecting each other at...

    Text Solution

    |

  18. In the given circle. Arc APB and are BQC are in the ratio 2: 5 and...

    Text Solution

    |

  19. In the given figures , O is the centre of the given circle. AB is a ...

    Text Solution

    |