a triangle has a side length of 3/4 inch and a side length of 3 inches whats the third side of the triangle
To find the third side of the triangle, we can 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 first two side lengths are 3/4 inch and 3 inches. Let's call the third side length x inches.
Therefore, we have the following inequalities:
3/4 + 3 > x
3 + x > 3/4
x + 3/4 > 3
Solving the inequalities:
3/4 + 3 = 3 3/4 = 15/4 = 3.75
3 + 3/4 = 3 3/4 = 15/4 = 3.75
x + 3/4 > 3
x > 3 - 3/4
x > 9/4 = 2.25
Therefore, the third side of the triangle must be greater than 2.25 inches.