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    if the lengths of diagonals df, ag and ce of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be

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    If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be

    Click here👆to get an answer to your question ✍️ If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be

    Question

    If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be 

    A

    equal to the side of cube

    B

    3 ​

    times the side of the cube

    C

    3 ​ 1 ​

    times the side of the cube

    D

    impossible to find from the given information

    Medium

    स्रोत : www.toppr.com

    If the length of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be :

    If the length of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be :

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    If the length of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be :

    Question

    If the length of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be :

    A

    Equal to the side of the cube

    B

    √3 times the side of the cube

    C

    times the side of the cube

    D

    impossible to find from the given information

    Open in App Solution

    The correct option is C Equal to the side of the cube

    The side length of a cube = AD = a

    The diagonal length of a cube = AG =

    a √ 3 DF = AG = CE = a √ 3

    The triangle formed was an equilateral triangle.

    The circumradius of an equilateral triangle =

    s √ 3 3

    Therefore, the circumradius of that triangle =

    a √ 3 √ 3 3 = Side of a cube Suggest Corrections 0 SIMILAR QUESTIONS

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    Q. In the adjoining figure, a triangle is drawn to circumscribe a circle of radius

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    Q. If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be

    Q. Consider the cube given below:

    N R , M S and P T

    are the diagonals of the cube whose volume is

    1728 c m 3

    . If a triangle is constructed whose three sides are same as the measure of the sides

    N R , M S and P T

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    Q. Three cubes with sides in the ratio

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    are melted to form a single cube whose diagonal is

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    स्रोत : byjus.com

    [Solved] If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be? https://cracku.in/media/uploads/2015/07/08/geom12.PNG here is my doubt so if a side of equilateral traingle is √ 3* x. its circumradius should be equal to the side of a equilateral traingle?

    Question Shubham Nagoria

    6 years, 1 month ago

    If the lengths of diagonals DF, AG and CE of the cube shown in the adjoining figure are equal to the three sides of a triangle, then the radius of the circle circumscribing that triangle will be? https://cracku.in/media/uploads/2015/07/08/geom12.PNG

    here is my doubt

    so if a side of equilateral traingle is √ 3* x. its circumradius should be equal to the side of a equilateral traingle?

    (0)  Follow (0) Comment Share Answer Shubham Nagoria 6 years ago Thanks got it 0 Answer Jay 6 years ago

    Dear Shubham, Circumradius=a*b*c/4A for a triangle, where a,b,c are sides and A is its area. Hence the answer to the above question is "x". The side of the triangle as you found out is √ 3* x. Hope this helps. :)

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    स्रोत : cracku.in

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    Mohammed 2 month ago
    4

    Guys, does anyone know the answer?

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