The sum of the lengths of any kind of two sides of a triangle is better than the length of the third side.
In the figure, the complying with inequalities hold.
a + b > c
a + c > b
b + c > a
check whether the is possible to have actually a triangle through the given side lengths.
7 , 9 , 13
add any two sides and see if it is higher than the other side.
The sum of 7 and also 9 is 16 and also 16 is higher than 13 .
The amount of 9 and 13 is 21 and also 21 is higher than 7 .
The sum of 7 and 13 is 20 and also 20 is better than 9 .
This set of side lengths satisfies the Triangle Inequality Theorem.
this lengths do kind a triangle.
inspect whether the provided side lengths type a triangle.
4 , 8 , 15
check whether the sides accomplish the Triangle Inequality Theorem.
add any 2 sides and also see if that is better than the other side.
The amount of 4 and also 8 is 12 and also 12 is much less than 15 .
This set of side lengths walk not satisfy Triangle Inequality Theorem.
this lengths carry out not kind a triangle.
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