Question

if two sides of a triangle measure 4 centimetres and 6 centimetres find all possible measurements of the third side how many distinct Triangles can be obtained

Answer 1

All possible measurement for the third side are 3 cm, 4 cm, 5 cm, 6 cm, 7 cm, 8 cm and 9 cm.
Total 7 triangles can be obtained.
The concept behind this is sum of two sides is always greater than 3rd side.
a=4
b=6
c= numbers we let
a+b>c
b+c>a
c+a>b
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Answer 2

Answer:

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