Triangles

Hanka cut the 20 cm long straws into three pieces each piece had a length in cm. Then, with these three pieces, she tried to make a triangle.

a) What circuit has each of the triangles?
b) How long can the longest side measure?
c) How many different triangles could be made?

Result

o =  20 cm
a =  9 cm
n =  8

Solution:

o=20 cmo=20 \ \text{cm}
a+b+c=20 a<b+c 9<9+2 a=9 cma+b+c=20 \ \\ a < b+c \ \\ 9 < 9 + 2 \ \\ a=9 \ \text{cm}
2,9,9 3,8,9 4,7,9 4,8,8 5,6,9 5,7,8 6,6,8 6,7,7  n=82,9,9 \ \\ 3,8,9 \ \\ 4,7,9 \ \\ 4,8,8 \ \\ 5,6,9 \ \\ 5,7,8 \ \\ 6,6,8 \ \\ 6,7,7 \ \\ \ \\ n=8



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