Question

Сколько диагоналей в выпуклом десятиуголнике

Answer 1

Чтобы найти к-ство диагоналей n-угольника, вместо n - число, используем формулу

n(n-3)  : 2

у нас десятиугольник, т.е. вместо n в формулу подставляем 10.

10(10-3) : 2 = 10*7 : 2 = 70:2 = 35.

Ответ : 35 диагоналей.

Answer 2

Number of Diagonals in a Decagon

A decagon is a ten-sided polygon. To find the number of diagonals in a convex decagon, we can use the formula:

Number of diagonals = n(n-3)/2, where n is the number of sides of the polygon.

For a decagon (10 sides), the formula becomes:

Number of diagonals = 10(10-3)/2

Calculating this, we get: Number of diagonals = 10(7)/2 = 35/2 = 17.5

However, since diagonals must be whole line segments, the actual number of diagonals in a convex decagon is 17.