Question

A polygon has 1377 diagonals. Determine the number of sides of this polygom​

Answer 1

Given :- A polygon has 1377 diagonals. Determine the number of sides of this polygon ?

Answer :-

we know that,

• Total diagonals in a polygon with n sides is = n(n - 3) / 2

so, if ee assume the sides of polygon as n .

then,

→ n(n - 3)/2 = 1377

→ n² - 3n - 2754 = 0

→ n² - 54n + 51n - 2754 = 0

→ n(n - 54) + 51(n - 54) = 0

→ (n - 54)(n + 51) = 0

→ n = 54 or (-51) .

therefore, the number of sides of this polygon will be 54.

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Answer 2

Answer:

The length of a log of wood originally was 45 inches it was cut such that the new length and the old length are in the ratio 3:5. What is the new length?