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in triunghiul abc ,punctele d si e apartin laturilor ab respectiv bc,astfel incat de||ac
dau coroana si 10 pct​

In Triunghiul Abc Punctele D Si E Apartin Laturilor Ab Respectiv Bcastfel Incat Deacdau Coroana Si 10 Pct class=

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a)

AD=AB-BD=28-16=12 cm

BD/AB=BE/(BE+EC)

notam BE=x

16/28=x/(x+9)

28x=16x+144

12x=144

BE=x=12

BC=12+9=21

b)

BD=AB-AD=16-6=10 cm

BD/AB=BE/(BE+EC)

notam BE=x

10/16=x/(x+18)

16x=10x+180

6x=180

BE=x=30

BC=30+18=48

c)

AD=AB-BD=35-20=15 cm

BD/AB=BE/(BE+EC)

notam EC=x

20/35=8/(x+8)

20x+160=280

20x=120

EC=x=6

BC=8+6=14

d)

BD/AB=BE/(BE+EC)

notam BD=x

x/24=18/12

12x=432

BD=x=36

BC=18+12=30

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