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The numerical value of the area and the height of an equilaterl triangle are equal. Find the length of the side of the triangle.

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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)`

  • If the ratio of the length of the sides of the triangle are 3:4:5 , Find the value of the greatest angle.

    A
    `105^@`
    B
    `75^@`
    C
    `60^@`
    D
    None of the above

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    If area of a triangle is 2 sq. units, then find the value of the product of the arithmetic mean of the lengths of the sides of a triangle and harmonic mean of the lengths of the altitudes of the triangle.

    The length of the sides of an equilateral Delta ABC is 2 a units.Find the height of the triangle.

    The equation to the base of an equilateral triangle is 4x-3y+10=0 and its vertex is at (-2,-1), find the length of a side of the triangle.

    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.

    IF the lengths of the side of triangle are 3,5 and 7, then the largest angle of the triangle is

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