We can see the larger triangle is a direct projection of the smaller triangle. Since the larger triangle is just a larger version of the smaller triangle, we can use proportions to get our answer.
[tex] \frac{6}{4} = \frac{6+x}{10}. To solve for x, we can multiply each side by 10. Now, we have [tex] \frac{10*6}{4}= 6+x[/tex]. 10*6/4= 60/4= 15.
Now, we have 15=6+x. If we subtract 6 from each side, we have x=9.
