If two sides of a triangle are 5cm and 4cm the length of it's third side cannot be
Answers
So in your triangle, the third side should be greater than ( 5 - 4 )= 1cm and smaller than ( 5+ 4) =9cm .
So the length of the third side will be between 1cm and 9cm.
Given : Two sides of a triangle are 4 cm and 5 cm
To Find : third side can not be
Solution:
Sum of Two sides of a triangle is greater than third side
Let say third side is x cm where x > 0 and x ∈ R
4 + 5 > x
=> 9 > x
=> x < 9
4 + x > 5
=> x > 1
5 + x > 4
True for all values of x
Hence 1 < x < 9
third possible side can be any length between 1 and 9 cm
third side cannot less than equal to 1 cm or greater than equal to 9 cm
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