In triangle ABC it is given that DE || BC . If AD=3 & DB=2 & DE=6 then

1.	In triangle ABC it is given that DE \|\| BC . If AD=3 & DB=2 & DE=6 then find BC
Answer» By aaa criteria...triamgle ade~abcAd/ab=de/bc...2/5=6/bc...hence bc=15cm... Given: ABC is a triangle , DE parallel BC and AD= 3 cm, DB=2 cm and DE=6 cm\xa0To find: AEsol: Since DE parallel BC\xa0 angle ADE= angle ABC (corresponding angles)and angle AED = angle ACB ( " )Triangle ADE ≈ triangle ABC ( by AA similarity)therefore , AD/AB=DE/BC=AE/AC (1)From (1)AD/AB=AE/AC2/5=x/182×18=5x36=5xx=36/5x=7.5cm∵ AE = 7.5 cm 9

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