## K.Binks one year ago How do you do this? Triangle ABE is similar to triangle ACD. Find y.

1. Michele_Laino

2. K.Binks

3. Michele_Laino

since your triangle are similar, we can write this proportion: $AE:AD = AB:AC$

4. Michele_Laino

now, using your drawing, we have: $\begin{gathered} AE = y \hfill \\ AD = AE + ED = y + 7 \hfill \\ AB = 4 \hfill \\ AC = 6 \hfill \\ \end{gathered}$

5. Michele_Laino

so, we can rewrite my proportion above, like below: $y:\left( {y + 7} \right) = 4:6$ please apply the fundamental property of proportion, and solve for y

6. Michele_Laino

hint: if we apply the fundamental property of proportions, we get: $4\left( {y + 7} \right) = 6y$ what is y?

7. K.Binks

4y + 28= 6y -> 28= 2y y= 14?

8. Michele_Laino

that's right!

9. K.Binks

Thank You!

10. Michele_Laino

:)