Question

Pe o dreapta se construiesc trei segmente congruente [AB]≡ [BC] ≡ [CD].
Stiind ca AD=9cm, calculati AB si AC. Aratati ca [AC]≡ [BD]

Answer 1

Ip:
[AB]≡ [BC] ≡ [CD]
AD=9cm,
C:
a. calculati AB si AC.
b. Aratati ca [AC]≡ [BD]
D:
a.
[AD]=[AB]+ [BC] + [CD]
stim ca [AB]≡ [BC] ≡ [CD], le notam cu a
[AD]=3 x a
9= 3 x a
a=9/3
a=3 cm
[AB] = 3 cm

[AC]= [AB]+[BC]=3+3 =6 cm
[AC]=6 cm

b.
[AC]= [AB]+[BC]= 6 cm
[BD]= [BC]+[CD] = 3+3 = 6 cm
[AC]= [BD]