The amount of the lengths of any type of two political parties of a triangle is better than the length of the 3rd side.


In the figure, the complying with inequalities hold.

a + b > c

a + c > b

b + c > a

instance 1:

inspect whether the is possible to have a triangle through the given side lengths.

7 , 9 , 13

include any two sides and see if it is better than the various other side.

The sum of 7 and also 9 is 16 and also 16 is better than 13 .

The sum of 9 and also 13 is 21 and 21 is higher than 7 .

The amount of 7 and also 13 is 20 and 20 is greater than 9 .

This set of side lengths satisfies the Triangle Inequality Theorem.

these lengths do form a triangle.

example 2:

inspect whether the offered side lengths form a triangle.

4 , 8 , 15

check whether the sides fulfill the Triangle Inequality Theorem.

include any two sides and see if the is higher than the other side.

The sum of 4 and 8 is 12 and also 12 is less than 15 .

This set of next lengths walk not satisfy Triangle Inequality Theorem.

this lengths execute not kind a triangle.

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