paularion007
paularion007 paularion007
  • 25-05-2021
  • Mathematics
contestada

AB is parallel to ED.

ACD and BCE are straight lines.

AB = 8 cm

AC = 4.8cm

BC = 6.4cm

ED = 20 cm

Work out the length of BE.​

AB is parallel to EDACD and BCE are straight linesAB 8 cmAC 48cmBC 64cmED 20 cmWork out the length of BE class=

Respuesta :

jimrgrant1 jimrgrant1
  • 25-05-2021

Answer:

BE = 22.4 cm

Step-by-step explanation:

Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is

[tex]\frac{CB}{CE}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values

[tex]\frac{6.4}{CE}[/tex] = [tex]\frac{8}{20}[/tex] ( cross- multiply )

8 CE = 128 ( divide both sides by 8 )

CE = 16 cm

Then

BE = BC + CE = 6.4 + 16 = 22.4 cm

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