Question

A polygon has 44 diagonals. The number of sides in the polygon is

Answer 1

Answer:

I Think Answer Should Be 44 Sides

Step-by-step explanation:

2 Diagonals Are Equal To 2 Sides

So 1 Diagonal Is 1 Side

Answer 2

$11$

Step-by-step explanation:

$If \: \: the \: \: number \: \: of \: \: sides \: \: of \: \: a \: \: polygon \: \: is \: \: n, \: then\\ \boxed{number \: \: of \: \: diagonals = \frac{n(n - 3)}{2} } \\ Now, \: \: \: 44 = \frac{n(n - 3)}{2} \\ \: \: \: \: \: \: \: n(n - 3) = 44 \times 2 \\ n(n - 3) = 88 \\ \: \: \: \: \: \: \: n(n - 3) = 11 \times 8 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n(n - 3) = 11 \times (11 - 3) \\ By \: \: comparison, \\ \boxed{n = 11}$