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If a polygon has 35 diagonals. …

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If a polygon has 35 diagonals. How many sides does it have

Posted by Archana Mittal 5 years, 4 months ago

CBSE > Class 08 > Mathematics

3 answers

Vansh Raheja 5 years, 4 months ago

10

Yahiah Rahman 5 years, 4 months ago

If a polygon has 35 diagonals. Then it have 10 sides.

Gaurav Seth 5 years, 4 months ago

The formula to find the number of diagonals = n(n-3)/2, where n = no. of sides of the polygon.

Here n(n-3)/2 = 35, or

n(n-3) = 70

n^2 - 3n - 70 = 0, or

(n-10)(n+7) = 0, lor

n = 10 or -7.

As n cannot be negative

Hence the figure has 10 diagonals and is a decagon.

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