Răspuns:
a)
BD = 9 cm
DC = 16cm
BC = BD + DC = 9 cm + 16 cm = 25 cm
AB = √(BD x BC) = √(9 x 25) = √225 = 15 cm
AC = √(DC x BC) = √(16 x 25) = √400 = 20 cm
b)
BD = 4 cm
DC = 12 cm
BC = BD + DC = 4 cm + 12 cm = 16 cm
AB = √(BD x BC) = √(4 x 16) = √64 = 8 cm
AC = √(DC x BC) = √(12 x 16) = √192 = 8√3 cm
c)
BD = 9 cm
CD = 12 cm
BC = BD + CD = 9 + 12 = 21 cm
AB = √(BD x BC) = √(9 x 21) = √189 = 3√21 cm
AC = √(CD x BC) = √(12 x 21) = √252 = 6√7 cm
d)
BD = x cm
CD = 9x cm
BC = BD + CD = x + 9x = 10x cm
AB = √(BD x BC) = √(X x 10X) = √10x² = x√10 cm
AC = √(CD x BC) = √((9X x 10X) = √90x² = 3x√10 cm
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