The lines AB, CD, EF and GH are parallel. It is known that AE : CG = 3 : 5 and AC : AG = 1 : 4. If the length of BD is 10 cm, what is the length (in cm) of FH?
Explanation:
AC : AG = BD : BH = 1 : 4
But, BD = 10 cm
∴ BH = 40 cm
∴ DH = BH − BD = 40 − 10 = 30 cm
Now, AE : CG = BF : DH = 3 : 5
∴ BF/30 = 3/5
∴ BF = 18 cm
∴ FH = BH − BF = 40 − 18 = 22 cm
Hence, option (c).
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