P and Q are points on the sides AB and AC respectively of △ ABC such that AP =3.5 cm, PB = 7 cm, AQ = 3 cm and QC = 6 cm. If PQ = 4.5 cm, find BC.
shraddhabalaji03:
Do you have a picture of the diagram? It would help if I knew where the letters are supposed to be :)
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ratio of corresponding sides are equal therefore ∆ABC is similar to ∆APQ
AP/AB = PQ/BC
3.5/10.5 = 4.5/x
x= 10.5 × 4.5 / 3.5
x = 13.5
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