In the figure AB=4 , BC=6 , AC=5 and AD=6 what is length of DE ? Ans=9
I know there must be some property here that would solve this problem instantly but I cant figure it out any suggestions ? Edit: Since the two triangles are similar there corresponding sides will be equal in ratio , however I am still getting the wrong answer
BA CA BC 4 5 6 AE 6 DE
$AE = \frac{24}{5}$ and $DE = \frac{36}{5}$
Where am I going wrong ?