Respuesta :

mhanifa

Answer:

(i)

Given

  • ∠BED = ∠BAC

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

  • ΔABC ~ ΔEBD

(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