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प्रश्न
In the adjoining figure, find AC.
उत्तर
GIVEN: In the figure we are given AD = 6cm, BD = 9cm, AE = 8cm
TO FIND: AC
According to BASIC PROPORTIONALITY THEOREM, if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.
In ∆ABC, DE || BC. So,
`(AD)/(DB)=(AE)/(EC)`
`6/9=8/(EC)`
`EC=(8xx9)/6`
`EC=12cm`
Now,
`AC=AE+EC`
`AC=8+12`
`AC=20cm`
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