Answer:
the Inequality for third side is [tex]5<x<33[/tex].
Step-by-step explanation:
Given:
One side of triangle = 14
Second side of triangle = 19
Let 'x' represent the third side of the triangle.
We need to find the inequality for the third side.
Solution:
By Triangle Inequality theorem which states that;
"The length of third side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides. "
framing in equation form we get;
One side + Second side < Third side > One side - Second side
Now substituting the above value we get;
[tex]19-14<x<19+14\\\\5<x<33[/tex]
Hence the Inequality for third side is [tex]5<x<33[/tex].
