Please help me with this home work

Triangle ABC ~ Triangle ADE
AD=5; DB=3.5; BC=5.1; AE=6; EC=x
What is the length of AB?
What is the length of DE?
Write an expression that represents AC?
What is the length of EC?
What is the length of AC?
Thank you

1 answer

I constructed the triangle so that DE || BC
AB = 5+3.5 = 8.5
DE:

DE/5 = 5.1/8.5
DE = 25.5/8.5 = ...

AC:
x/6 = 3.5/5
x = 6(3.5)/5 = ...
AC = 6 + x

EC: just found that

AC: also done