Răspuns:
A)
AD/AB = AE/AC
4/9 = 6/AC
AC = 9*6 / 4
AC = 9*3/2
AC = 27/2
AC = 13.5 CM
AD/AB = DE/BC
4/9 = 5/BC
BC = 9*5/4
BC = 45/4
BC = 11.25 CM
B)
AD/AB = AE/AC = DE/BC
AD/(AD+5) = 2/5 = DE/6
AD/(AD+5) = 2/5
5AD = 2(AD+5)
5AD - 2AD = 10
3AD = 10
AD = 10/3
AD = 3.3 CM
2/5 = DE/6
5DE = 2*6
DE = 12/5
DE = 2.4CM
C)
AD/AB = AE/AC = DE/BC
3/AB = 6/13 = 8/BC
3/AB = 6/13
AB = 3*13 / 6
AB = 13/2
AB = 6.5 CM
BD = AB - AD = 6.5 - 3 = 3.5CM
6/13 = 8/BC
BC = 13 * 8 / 6
BC = 13 * 4 / 3
BC = 52/3
BC = 17.3 CM
D)
AD/AB = AE/AC = DE/BC
3/AB = AE/6 = 4/12
AE/6 = 4/12
AE = 6*4/12
AE = 2 CM
3/AB = 2/6
AB = 3*6 / 2
AB = 12/2
AB = 6 CM
BD = AB - AD
BD = 6 - 3
BD = 3 CM