Question

ex 3, rapid va rooogg!!

Answer 1

Răspuns:

Explicație pas cu pas:

a)

ED║AC→ teorema asemanarii BD/AB=EB/AC

4/16=EB/15

EB= (15*4)/10= 60/10=6 cm

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AD= AB- BD

AD= 10-4=6 cm

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EC= 15-6=9cm

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b)

DE║AC→ teorema asemanarii BD/AD=BE/EC

BD/6=12/9

BD/6=4

BD=6*4=24 cm

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AB=BD+AB

AB=24+6=30 cm

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BC= BE+EC

BC=12+3= 15 cm

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c)

DE║AC→teorema asemanarii AB/BD=BC/EB

24/14=BC/7

BC=24*7/14= 168/14= 12 cm

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BD=AB-AD

BD= 24-10=14cm

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EC=BC-EB

EC= 12-7= 5 cm

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d)

DE║AC→ teorema asemanarii AB/BD=BC/BE/4

BC= 14*4/8=56/8= 7 cm

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EC= BC-DE

EC= 7-4=3cm

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AB=BD+AD

AB= 8+6=14 cm