Mathematics
In a regular hexagon, leading diagonal of it, is twice of its side.
Yes
No
Nothing can be said
Rectilinear Figures
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Answer
A regular hexagon has six equal sides and six equal interior angles, each measuring 120 degrees.
We know that,
Each regular hexagon can be divided into six equilateral triangles, with each side equal to the side of hexagon.
Let ABCDEF be a regular hexagon with O as the center and side of length x units.
From figure,
CF (Diagonal) = CO + OF = x + x = 2x.
Thus leading diagonal is twice the side of regular hexagon.
Hence, option 1 is the correct option.
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Related Questions
Construct a regular hexagon of side
(i) 2.5 cm
(ii) 3.2 cm
Is it possible to construct a quadrilateral with sides 5 cm, 6 cm, 7 cm, 8 cm and one of the diagonal 15 cm.
Yes
No
Nothing can be said
Statement 1:For a quadrilateral ABCD; if AB = BC = CD = DA = 8 cm, then it is possible to construct this quadrilateral.
Statement 2: It is only possible to construct this quadrilateral if each of its diagonals is greater than 8 cm.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A): A parallelogram can be constructed if the measures of its diagonals and one side are given.
Reason (R): It is possible to construct this parallelogram as the diagonals bisect each other.
A is true, but R is false.
A is false, but R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.