Question

How many diagonals does each of the following have?
(a) A convex quadrilateral (b) A regular hexagon​

Answer 1

Answer:

A convex quadrilateral has two diagonals. Here, AC and BD are two diagonals. (b) A regular hexagon has 9 diagonals.

Answer 2

According to class 8 maths:-

Formula is 3n(n-2)
————-
n

So,

a) A convex quadrilateral

Quadrilateral has 4 sides so n=4

3 X 4 ( 4 - 2 )
———————-
4

12 (2)
———-
4

24
——
4

= 6




b) A regular hexagon


Sides of regular hexagon= 6

So,

3n (n-2)
—————
n

n=6

3 X 6 ( 6 - 2 )
———————
6

18 ( 4 )
————
6

72
—-
6

=12







So,
a) 6
b) 12





Plz mark as the brainliest and do like it