each figure is made up of triangle with sides of 1 unit . let n represent the number of triangles and p represent the perimeter of the figure. write the rule relates n and p.
please give correct answer please
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Given : figure made up of triangle with sides of 1 unit
n represent the number of triangles and
p represent the perimeter of the figure
To Find : the rule relates n and p.
Solution:
Triangles Perimeter
n = 1 p = 3
n = 2 p = 5
n = 3 p = 7
n = p = 1
rule relating n & p
p = 2n + 1
Each additional triangle adds 2 sides as one side is common with already available .
Only 1st triangle is 1 more than 2 .
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