Q. 54.0( 12 Votes )

How many diagonals does each of the following have?
(i) A convex quadrilateral

(ii) A regular hexagon

(iii) A triangle

Answer :

(i) A convex quadrilateral



Convex quadrilateral has two diagonals.


(ii) A regular hexagon



An n-sided convex polygon has diagonals.


Applying the above relation for hexagon:


Number of diagonals =


Regular Hexagon has 9 diagonals.


(iii) A triangle



An n-sided convex polygon has diagonals.


Applying the above relation for triangle:


Number of diagonals =


Therefore a triangle has no diagonal

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