Solving for Missing Side Length in Similar Triangles
To solve for the missing side length in similar triangles, we can set up a proportion based on the corresponding sides of the triangles. Let's call the missing side length "x".
For the smaller triangle, we have the sides as x (the one we want to find) and 8. For the larger triangle, the corresponding sides are 7 and 16.
Setting up our proportion, we get:
x/7 = 8/16
Now we want to solve for x:
x = (8/16) * 7
x = (1/2) * 7
x = 7/2
x = 3.5
So the missing side length is 3.5 units.