Find the length of the third side if necessary round to the nearest tenth the short side of the triangle is 8 and the long side of the triangle is 16
To find the length of the third side of a triangle, we need to use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the short side is 8 and the long side is 16. Let's call the length of the third side x.
According to the triangle inequality theorem, we have the following inequality:
8 + x > 16
To find the value of x, let's solve for x:
x > 16 - 8
x > 8
So, the length of the third side must be greater than 8.
Since we rounded to the nearest tenth, the length of the third side would be 8.1 or any value greater than 8.