Question

See the given figure. DE || BC. Find EC.

Answer 1

Let EC = x cm

It is given that DE || BC.

By using basic proportionality theorem, we obtain

`("AD")/("DB") = ("AE")/("EC")`

`(1.5)/3 = 1/x`

By cross-multiplication, we have

x = `(1xx3)/1.5`

x = `(1xx3xx10)/15`

∴ x = 2 cm

EC = 2 cm