Home
Class 10
MATHS
DeltaABC" and "DeltaDEF are two equilate...

`DeltaABC" and "DeltaDEF` are two equilateral triangles of sides 4 cm and 2 cm respectively. Find the ratio of ar(ABC) and ar(DEF).

Text Solution

Verified by Experts

The correct Answer is:
`4 : 1`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|37 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|29 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

Draw an equilateral triangle whose sides are 5.2 cm. each

ABC is an equilateral triangle of side 2a. Find each of its altitude.

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the areas of triangles ABC and BDE is

In DeltaABC , E and F are the midpoints of sides AB and AC respectively. If EF=5cm, find BC.

Fill in the blanks so as to make each of the following statements true : The areas of two similar triangles ABC and DEF are 144 cm^(2)" and "81 cm^(2) respectively. If the longest side of DeltaABC measures 36 cm, then the longest side of DeltaDEF measures..............cm.

DeltaABC is an equilateral triangle. D, E and F are the midpoints of AB, BC and CA respectively. If AB = 8 cm, the perimeter of A DEF is ………. cm.

The area of an equilateral triangle with each side measuring 10 cm is …………. cm^(2)

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD show that ar(DeltaAPB) = ar Delta(BQC)

The areas of two similar triangles are 81 cm^(2) and 49 cm^(2) respectively. If the altitude of the bigger triangle is 4.5 cm. Find the corresponding altitude of the smaller triangle.

The areas of two similar triangles are 100 cm^(2)" and "49 cm^(2) respectively. If the altitude of the bigger triangle 5 cm, find the corresponding altitude of the smaller triangle.

KUMAR PRAKASHAN-TRIANGLES-PRACTICE THOROUGHLY
  1. In DeltaABC, D and E are points on the sides AB and AC respectively su...

    Text Solution

    |

  2. DeltaABC ~ DeltaPQR. If AB= 6.5 cm, PQ= 10.4 cm and the perimeter of D...

    Text Solution

    |

  3. In DeltaABC, D and E are points of sides AB and AC such that DE||BC. I...

    Text Solution

    |

  4. An aeroplane leaves an airport and flies due west at a speed of 2100 k...

    Text Solution

    |

  5. In the given figure, OA= 3cm, OB= 4 cm, /AOB= 90^(@), AC= 12 cm" and "...

    Text Solution

    |

  6. In trapezium ABCD, AB||CD and AB= (1)/(3)CD. The diagonals AC and BD i...

    Text Solution

    |

  7. DeltaABC" and "DeltaDEF are two equilateral triangles of sides 4 cm an...

    Text Solution

    |

  8. A girl of height 100 cm is walking away from the base of a lamp-post a...

    Text Solution

    |

  9. In triangleABC, /C= 90^(@) and P and Q are the midpoints of BC and AC ...

    Text Solution

    |

  10. In the given figure, /B= 90^(@). If AE= CD= 13 cm and BE= AD= 5 cm, th...

    Text Solution

    |

  11. In the given figure, EFGD is a square and /BAC= 90^(@). Prove that BF ...

    Text Solution

    |

  12. In right angled DeltaABC, /C= 90^(@) and D, E, F are three points on B...

    Text Solution

    |

  13. In an equilateral ABC, E is a point on BC such that BE= (1)/(4)BC. Pro...

    Text Solution

    |

  14. A rhombus has each side of length 20 cm and one pair of opposite angle...

    Text Solution

    |

  15. In DeltaABC, /B=90^(@). D and E are any points on sides AB and BC resp...

    Text Solution

    |

  16. In DeltaABC, /B= 90^(@) and BM is an altitude. Prove that (1)/(BM^2)= ...

    Text Solution

    |

  17. ABCD is a rhombus. Prove that AB^(2)+BC^(2)+CD^(2)+DA^(2)= AC^(2)+BD^(...

    Text Solution

    |

  18. In equilateral DeltaABC, D is a point on BC such that BD= (1)/(3)BC. P...

    Text Solution

    |

  19. If A be the area of a right Deltaand b be one of the sides containing ...

    Text Solution

    |

  20. The perimeter of a right triangle 60 cm. If its hypotenuse is 25 cm, f...

    Text Solution

    |