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Verified answer
AE = 3AD = 2
DE = 6
BC = 12
AE/AB = DE/BC
3/(3+a) = 6/12
3 × 12 = 6 × (3+a)
36 = 18 + 6a
6a = 36 - 18
6a = 18
a = 18/6
a = 3
AD/AC = DE/BC
2/(2+b) = 6/12
2 × 12 = 6 × (2+b)
24 = 12 + 6b
6b = 24 - 12
6b = 12
b = 12/6
b = 2
a^2 = 8 × 18
a^2 = 144
a = V144
a = 12
b^2 = 18 × (18+8)
b^2 = 18 × 26
b^2 = 468
b = V468
b = V(36×13)
b = V36V13
b = 6V13
b = 21,63
c^2 = 8 × (8 + 18)
c^2 = 8 × 26
c^2 = 208
c = V208
c = V(16×13)
c = V16V13
c = 4V13
c = 14,42