How many diagonals can be drawn in a pentagon?
How many diagonals can be drawn in a pentagon? Correct Answer 5
A pentagon has 5 sides. We obtain the diagonals by joining the vertices in pairs.Total number of sides and diagonals, = 5C2= $$\frac{{5 \times 4}}{{2 \times 1}}$$ = 5 × 2 = 10This includes its 5 sides also.⇒ Diagonals = 10 – 5 = 5Hence, the number of diagonals= 10 – 5
= 5