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The diagonal of a square is 10sqrt(3)cm ...

The diagonal of a square is `10sqrt(3)cm` and the area of an equilateral triangle is equal to the area of the square. If a square is constructed on any side of the triangle, then find its area.

Text Solution

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The correct Answer is:
`200sqrt(3)" sq-cm "`
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Knowledge Check

  • The side of a square is a and each of the sides of an equilateral triangle is a. Then the ratio of their areas is

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

  • An equilateral triangle of side 6 cm. Its area is :

    A
    `9sqrt3 cm^2`
    B
    `30sqrt3 cm^2`
    C
    `45sqrt3 cm^2`
    D
    90 `cm^2`

  • If the area of a triangle with base x is equal to the area of a square with side x then the altitude of the triangle is

    A
    x/2
    B
    x
    C
    `sqrt2x`
    D
    2x

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    If the side of an equilateral triangle increases at the rate of sqrt(3) cm/s and its area at the rate of 12 cm^(2) /s, find the side of the triangle .

    Prove that three times the square of any side of an equilateral triangle is equal to four times the square of the altitude.

    The area of an equilateral triangle is 4sqrt(3)cm^(2). Then the of each of the sides of the triangle is

    If each side of an equilateral triangle is doubled then its area increases by 12sqrt3 sqm.The length of each side of triangle is

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