Answer:
(i)
Given
Also we see that
- ∠ABC = ∠DBE as refer to same angle
Since two angles of triangles are congruent, the triangles are similar by AA similarity postulate
(ii)
In similar figures corresponding parts have same ratio. Use ratios to find the value of x:
- AB/EB = AC/ED
- 12/8 = x / 4
- x = 4*12/8
- x = 6 cm
