abc be similar to dce ac=32 ad=8 ce=18 what is the length of be

Question

i need the answer straight

Answer 1

assuming ABC and DCE are triangles

draw triangle ABC

point D is along segment AC

point E is along segment CB

connect points D and E to form triangle DCE

corresponding sides of similar triangles form equal ratios

AC=32

AD=8

therefore DC=24 because AD+DC=AC

CE=18

set up a proportion

DC/AC=CE/CB

24/32=18/CB

24/32=3/4

3/4=18/CB

multiply 3 and 4 both by 6 (6*3=18)

6*4=24 so CB=24

CE+EB=CB

18+EB=24

EB=24-18

EB=6