Question

In fig., line BC || line DE, AB = 2, BD = 3, AC = 4 and CE = x, then find the value of x.

Answer 1

In ΔADE, line BC || seg DE   ...[Given]

∴ `(AB)/(BD) = (AC)/(CE"`   ...[Basic proportionality theorem]

∴ `2/3 = 4/x`   ...[Given]

∴ 2 × x = 4 × 3

∴ 2x = 12

∴ x = `12/2`

∴ x = 6