SSS triangle similarity theorem
AD = 8.3
Explanation:
A line parallel to one side intersects two other sides of a triangle, it divides those two sides proportionally.
BC is parallel to DE
Then:
AB/AD = BC/DE
This makes the third side to divide each othe proportionally:
AC/CE = AB/AD = BC/DE
It is said that if 3 sides of a triangle is proportional to 3 sides of another triangle, then the triangles are similar by side-side-side similarity (SSS).
AB/AD = BC/DE
5/AD = 9/15
[tex]\begin{gathered} \frac{5}{AD}=\frac{9}{15} \\ 5(15)\text{ = 9(AD)} \\ 75\text{ = 9AD} \\ AD\text{ = 75/9} \\ AD\text{ = 8.33} \end{gathered}[/tex]
To the nearest tenth, AD = 8.3
