Geometry Application : The number of diagonals of an n-sided figure is 1/2(n² -3n). Use the formula to find the number of diagonals for a 6-sided figure (hexagon)
Solution:
Given, the number of diagonals of an n-sided figure is 1/2(n² - 3n)
We have to use the formula and find the number of diagonals for a six-sided figure.
Given, n = 6
So, n² - 3n = (6)² - 3(6)
= 36 - 18
= 18
1/2 (n² - 3n) = 1/2(18)
= 9
Therefore the number of diagonals is 9.
✦ Try This: The number of diagonals of an n-sided figure is 1/2(n² - 3n). Use the formula to find the number of diagonals for a 8-sided figure.
Given, the number of diagonals of an n-sided figure is 1/2(n² - 3n)
We have to use the formula and find the number of diagonals for a six-sided figure.
Given, n = 8
So, n² - 3n = (8)² - 3(8)
= 64 - 24
= 40
1/2 (n² - 3n) = 1/2(40)
= 20
Therefore the number of diagonals is 20
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13
NCERT Exemplar Class 7 Maths Chapter 11 Problem 92
Geometry Application : The number of diagonals of an n-sided figure is 1/2(n² -3n). Use the formula to find the number of diagonals for a 6-sided figure (hexagon)
Summary:
The number of diagonals of an n-sided figure is 1/2(n² -3n). Using the formula, the number of diagonals for a 6-sided figure is 9
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