Home
Class 12
MATHS
A polygon has 54 diagonals . Find the nu...

A polygon has 54 diagonals . Find the number of its sides.

Text Solution

AI Generated Solution

To solve the problem of finding the number of sides of a polygon that has 54 diagonals, we can use the formula for the number of diagonals in a polygon with \( n \) sides, which is given by: \[ D = \frac{n(n-3)}{2} \] Where \( D \) is the number of diagonals and \( n \) is the number of sides. We know from the problem that \( D = 54 \). ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|65 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

Similar Questions

Explore conceptually related problems

A polygon has 35 diagonals. Find the number of sides.

A polygon has 44 diagonals. The number of its sides are

In a polygon the number of diagonals 77. Find the number of sides of the polygon.

A polygon has 90 diagonals , number of its sides is

The number of diagonals of a convex polygon is 15 less than 4 times the number of its sides. The number of sides of the polygon be

In a polygon the number of diagonals is 54. The number of sides of the polygon, is A. 10 B. 12 C. 9 D. None of these

The permieter of a polygon is 24.5 cm. Each side of the polygon is 3.5 cm1 in length. Find the number of sides of the polygon.

The interior angle of a regular polygon is 156^0dot Find the number of sides of the polygon.

The ratio between an exterior angle and an interior angle of a regular polygon is 2 : 3. Find the number of sides in the polygon.

An exterior angle and an interior angle of a regular polygon are in the ratio 2:7. Find the number of sides in the polygon.