Question

how many diagonals does a convex quadrilateral have ? ​

Answer 1

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Question:-

How many diagonals does a convex quadrilateral have ?

Answer:-

n = no. of sides = 4

no. of diagonals

⟹ $\rm\dfrac{n(n - 3)}{2}$

⟹ $\rm\dfrac{4(4 - 3)}{2}$

⟹ 2 × 1 = 2 diagonals

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⠀⠀ ❤ λŘ + ₦λV ❤

Answer 2

Step-by-step explanation:

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The number of diagonals of an n sided polygon is given by,

D

n

=

2

n(n−3)

A convex quadrilateral has 4 sides.

So, n=4

∴D

4

=

2

4(4−3)

=2