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The sides of two triangles are in the ra...

The sides of two triangles are in the ratio `2 : 3`. Then their areas are in the ratio :

A

`9 : 4`

B

`4 : 9`

C

`2 : 3`

D

`3 : 2`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If the angles of a triangle are in the ratio 1 : 2 : 3 , then the sides are in the ratio :

    A
    `1 : sqrt(3) :2`
    B
    `sqrt(3) : 1 : 2`
    C
    `sqrt(3) : sqrt(2) :1`
    D
    `1 : sqrt(3) : sqrt(2)`

  • If the angles of a triangle are in the ratio 2 : 3 : 7 , then sides are in the ratio of

    A
    `pi : 2 : (sqrt(3)+1)`
    B
    `sqrt(2) : 2 : (sqrt(3)+1)`
    C
    `sqrt(2) : (sqrt(3)+1) : 2`
    D
    `2 : (sqrt(3)+1) : sqrt(2)`

  • If the angles of a triangle are in the ratio 3:4:5 , then the sides are in the ratio

    A
    `2:sqrt(6):sqrt(3)+1`
    B
    `sqrt(2):sqrt(6):sqrt(3)+1`
    C
    `2:sqrt(3):sqrt(3)+1`
    D
    `3:4:5`

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