The length of third side of triangle is 4 or 14.
According to the statement
we have given that the two sides of the triangle which are 5 and 9 and we have to find the length of the third side of triangle.
So, For this purpose, we know that the
If we had a triangle with sides a, b and c, then we can say
b-a < c < b+a
where b is larger than 'a'. This is the triangle inequality theorem
In this case, a = 5 and b = 9 so,
b-a < c < b+a
9-5 < c < 9+5
4 < c < 14
Telling us that c is some number between 4 and 14, not including either endpoint. If c is a whole number, then c could be any value from this set.
And
We see that the numbers 4 and 14 are in this set. The values 2 and 7 are not in the set.
So, The length of third side of triangle is 4 or 14.
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