Question

A polygon has prime number of sides. Its number of sides is equal to the sum
of the two least consecutive primes. Draw the polygon along with its diagonals.

Answer 1

Answer:Given that the polygon has prime number of sides and also given that the number of sides is equal to the sum of two least consecutive prime numbers.

So, the number of sides this polygon has = 2 + 3 = 5 and this polygon is pentagon.

Now, total the number of diagonals of a pentagon can be find out by this formula.

The number of diagonals of pentagon = n(n - 3)/2, where n = 5

= 5(5 - 3)/2

= (5*2)/2

= 10/2

= 5

So, the number of diagonals of a pentagon is 5