Home
Class 14
MATHS
There are two congruent triangles each w...

There are two congruent triangles each with area `198 cm^(2)`?. Triangle DEF is placed over triangle ABC in such a way that the centroid of both the triangles coincides with each other and `AB || DE`, as shown in figure, thus forming a star. What is the area of the common region (PQRSTU)?

A

`99 cm^2`

B

`132 cm^2`

C

`148 cm^2`

D

can't be determined

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos
  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

The centroid of a triangle ABC is G. The area of triangle ABC is 60 cm^(2) . The area of triangle GBC is.

If arcs of radius r cm are drawn with the vertices of an equilateral triangle ABC as shown in the figure, then the area of the shaded region is

The diameter of a semicircle and the base of an equilateral /_\ABC coincide in such a way that the other two sides of the triangle intersect the circumference of the semicircle at the points D and E, as shown in the diagram. If the perimeter of the triangle ABC is 6 cm, find the area of the shaded region.

The areas of two similar triangles ABC and DEF are 144 cm^(2) and 81 cm^(2) respectively . If the longest side of the larger triangle is 36 cm , find the longest side of the other triangle .

Triangle ABC and DEF are similar. If AC = 19 cm and DF = 8 cm , the ratio of the area of two triangles are :

Each of sides of a triangle is 8cm less than the sum of its other two sides.Area of the triangle ( in cm^(2)) is

If each sides of a triangle is doubled then find the ratio of the area of the new triangle thus formed and the given triangle.

In two congruent triangles ABC and DEF, if AB=DE and BC=EF .Name the pairs of equal angles.

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. In the given figure ABC is a triangle in which 3AD = CD and E lies on ...

    Text Solution

    |

  2. In the adjoining figure ABC is a right angled triangle, BDEF is a squa...

    Text Solution

    |

  3. There are two congruent triangles each with area 198 cm^(2)?. Triangle...

    Text Solution

    |

  4. What is the sum of all the angles of a 9 pointed star ("i.e., "angle1 ...

    Text Solution

    |

  5. A circle is circumscribed by the rhombus which in turn is made up by j...

    Text Solution

    |

  6. There are n rectangles each with area 200 cm^(2). If the dimensions of...

    Text Solution

    |

  7. There are 8 points, in a plane, how many different triangles can be fo...

    Text Solution

    |

  8. ABC is an isosciles triangle a circle is such that it parses though ve...

    Text Solution

    |

  9. A smaller circle touches internally to a larger circle at A and passes...

    Text Solution

    |

  10. In the given figure ADEC is a cyclic quadrilateral, CE and AD are exte...

    Text Solution

    |

  11. The mean of 100 observations was calculated as 40. It was found later ...

    Text Solution

    |

  12. The average weight of 29 students is 28 kg. by the admission of a new ...

    Text Solution

    |

  13. If x^2 + y^2 + z^2 = xy + yz + zx, then the triangle is :

    Text Solution

    |

  14. In the adjoining figure ABCD is a rectangle in which length is twice o...

    Text Solution

    |

  15. In the adjoining figure there are two congruent regular hexagons with ...

    Text Solution

    |

  16. The average age of 30 students of a class is 12 yr. The average age of...

    Text Solution

    |

  17. The age of Shaurya and Ravi is in the ratio 2 : 6. After 5 years, the ...

    Text Solution

    |

  18. The average of 8 numbers is 12. If each number is increased by 2, the ...

    Text Solution

    |

  19. The average of x, y and z is 45. x is as much more than the average as...

    Text Solution

    |

  20. In the given figure, P and Q are the mid points of AC and AB also PG =...

    Text Solution

    |