The number of diagonals we can draw from
- 3). Check it for a heptagon (7 sides) and octagon (8 sides) by drawing figures.
hat is the number for a triangle (3 sides)? Observe that the diagonals drawn from any
e vertex divide the polygon in as many non-overlapping triangles as the number of
gonals that can be drawn from the vertex plus one.
EXERCISE 12.4
- Observe the patterns of digits made from line segments of equal length. You will find
such segmented digits on the display of electronic watches or calculators.
(a)
6 LHE
11
6
16
21 ...
(5n + 1) ...
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Answer:
polygon?
N Triangles with 3 diagonal endpoints Total Number of Triangles
9 84 1302
10 120 2400
11 165 4257
12 220 6956
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