The number of triangles is an illustration of Triangle Inequalities theorem
There are infinitely many triangles that can be made given two side lengths
How to determine the number of triangles?
The side lengths of two sides are given as 18 inches and 25 inches.
Assume the third side of the triangle is x
Using the Triangle Inequalities theorem, we have:
- a+b > c
- b+c > a,
- c+a > b
So, we have:
x +18 > 25
x > 7
x + 25 > 18
x > -7.
18 + 25 > x
x < 43.
Ignore the negative value.
So, we have the solution set to be 7 < x < 43.
This means that the third side can take any value between 7 < x < 43.
Hence, there are infinitely many triangles.
Read more about Triangle Inequalities theorem at:
https://brainly.com/question/12011543
