How many diagonals a convex quadrilateral have?

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There are two diagonals in a convex quadrilateral.

There are three diagonals in a convex quadrilateral.

There are four diagonals in a convex quadrilateral.

There is one diagonal in a convex quadrilateral.

answer is A.

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Detailed Solution

We have to find the number of diagonals in a convex quadrilateral.
A convex quadrilateral is the polygon containing 4 straight sides and whose internal angle is less than

180 °

We know,
Formula of number of diagonals in a polygon:

d = n n − 3 2

Where, n = number of sides of a polygon.
Number of sides of a convex quadrilateral is 4.

⇒ d = 4 4 − 3 2 ⇒ 42 ⇒ 2

Hence, there are two diagonals in a convex quadrilateral.
Hence, the correct option is 1.

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