Andy422 Andy422
  • 03-03-2020
  • Mathematics
contestada

Can someone please help me find the missing lengths in the following diagram?

Can someone please help me find the missing lengths in the following diagram class=

Respuesta :

Favouredlyf Favouredlyf
  • 03-03-2020

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

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