To find WZ in inches, we need to first express both lengths in terms of x and then solve the equation to find the value of WZ.
We know that TZ is given as 3x inches and WZ is given as 2x + 3 inches. However, we need to relate these lengths to find a specific value. In many triangle problems, if two sides are expressed with variables, often there is a relationship or given information that allows us to equate or analyze them based on triangle properties.
In this case, without additional information about triangle TRS (such as angles or if TZ and WZ are equal), we can’t derive a precise numeric value for WZ purely based on the values given. If we had a relationship such as TZ = WZ, we could set up the equation:
3x = 2x + 3
Simplifying this gives:
3x – 2x = 3
x = 3
Then, substituting x back into the expression for WZ:
WZ = 2(3) + 3 = 6 + 3 = 9 inches.
So, if TZ is proven to equal WZ or if additional relationships are provided, we can conclude that WZ is 9 inches. Without such relationships, the values remain expressed in terms of x.