Given:
Two sides of a triangle are 14 and 23.
To find:
The angle for the measures for the third side of a triangle.
Solution:
If a, b, c are three sides of a triangle, then
It is given that two sides of a triangle are 14 and 23.
Let the third side of the given triangle be c. Then, using the above inequalities, we get
...(i)
Similarly,
...(ii)
And,
...(iii)
Using (i), (ii) and (iii), we get
Therefore, the range for third side of the triangle is
.