Hitunglah panjang sisi-sisi yang belum diketahui.

per soal kunci jawaban

Hitunglah panjang sisi-sisi yang belum diketahui.

Pembahasan :

m < C = M < E (sehadap)

m < FEC = m

m << CFE = m < EDB = m < CAB (sehadap)

FE
__ = CE/BE
BD

FE = CE/BE. BD

= 6/8. 12

= 9 cm

DE
_ = BE/CE
FC

DE = BE/CE.FC

= 8/6.5

= 20/3

= 6 2/3 cm

AB = 9 + 12 = 21 cm

panjang CB = 14 cm

panjang CA = 11 2/3 cm∆ CEF ~ ∆ BDE ~ ∆ ABC

gambar (iii)

foto

∆ ABC ~ ∆ EBD

CA
_ = AB/BE = BC/BD
DE

panjang CB =…?

BC
_ = AB/BE
BD

BC = AB/BE . BD

= 16/8. 12

= 24 cm

DE
__ = BE/AB
AC

DE = BE/ AB . AC

= 8/16. 14

= 7 cm

CE = BC – BE

CE = 24 cm – 8 cm

CE = 16 cm

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