Answer:
Step-by-step explanation:
18 a)Since line DE is parallel to line BC, it means that triangle ADE is similar to triangle ABC. Therefore,
AB/AD = AC/AE = BC/DE
AC = AE + CE = 18 + 9
AC = 27
AB = AD + DB
AB = AD + 5
Therefore,
27/18 = (AD + 5)/AD
Cross multiplying, it becomes
27 × AD = 18(AD + 5)
27AD = 18AD + 90
27AD - 18AD = 90
9AD = 90
AD = 90/9
AD = 10
b) AC = AE + EC = 13 + 3
AC = 16
To find AD,
16/13 = 24/AD
16 × AD = 13 × 24
16AD = 312
AD = 312/16
AD = 19.5
DB = 24 - 19.5
DB = 4.5
