Answer:
These are similar triangles.
By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original
Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:
This means that BF/FE = BC/CD=FC/ED
The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48
BE=BF+FE; BE=9+?
if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE
1x9=9, 7x9=63
63=BE
Explanation: