Question

please answer i will mark braineast if answer is rite

Answer 1

2cm

Step-by-step explanation:

The given information is shown in the attached diagram.

DE∣∣BC

⟹∠ADE=∠ABC Corresponding angles

∠AED=∠ACB Corresponding angles

∠A is common to both the triangles.

∴ΔADE∼ΔABC by AAA similarity

$\frac{ab}{ad} = \frac{ac}{ae} \\ \frac{ab}{ad} - 1 = \frac{ac}{ae} - 1 \\ \frac{bd}{ad} = \frac{ce}{ae} \\ ec = 1 \times \frac{3}{1.5} = 2cm$