Question

A polygon has prime number of sides. If number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is

Answer 1

Solution:-
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.
Answer

Answer 2

A polygon has prime number of sides. If number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon are five. 

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