Question

How do you do this? Triangle ABE is similar to triangle ACD. Find y.

Answer 1

where is your drawing, please?

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

that's right!

Answer 8

Thank You!

Answer 9

:)