Question

Which polygon has number of sides equal to diagonal?

Answer 1

Pentagon is a diagonal having the number of diagonals equal to the number of sides. you can use the formula n(n-3)/2 to find the number of sides in an n sided polygon.

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Answer 2

Only a pentagon can have the number of sides equal to its diagonal because :[tex]d = \frac{n(n-3)}{2} Now d = n n = \frac{n(n-3)}{2} 2n = n² - 3n 5n = n² n²- 5n= 0 n(n-5) = 0 Either n=0 or n=5 [/tex]
A polygon with n=5 is a pentagon.