Answer:
AE = 10
Step-by-step explanation:
We have similar triangles. We can take the smaller triangle side over the larger triangle.
ED DC
---------- = -------------
AE AB
x+6 8
---------- = -------------
2x+6 10
Using cross products
10(x+6) = 8(2x+6)
Distribute
10x+60 = 16x+48
Subtract 10x from each side
10x-10x+60 = 16x-10x+48
60 = 6x +48
Subtract 48 from each side
60-48 = 6x+48-48
12 = 6x
Divide by 6
12/6 = 6x/6
2=x
We want to find AE
AE =2x+6
= 2(2) +6
4+6
10
