Question

ABC and AED are straight lines.

Answer 1

Answer:

• CD = 5.7 cm
• ED = 3.05 cm

Step-by-step explanation:

a) ΔACD ~ ΔABE so the ratios of corresponding sides are the same. That is ...

  CD/BE = CA/BA

  CD/3.8 = 12.3/8.2

  CD = 3.8×12.3/8.2 = 5.7 . . . . cm

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b) As above, the ratios of corresponding sides are the same.

  ED/AD = BC/AC

  ED/9.15 = (12.3-8.2)/12.3 . . . . BC = AC - AB

  ED = 9.15×4.1/12.3 = 3.05 . . . . cm