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Question
In the adjacent figure, ∆ACB ~ ∆APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ
Solution
Given ∆ACB ~ ∆APQ
`"AC"/"AP" = "BC"/"PQ" = "AB"/"AQ"`
`"AC"/2.8 = 8/4 = 6.5/"AQ"`
Consider `"AC"/2.8 = 8/4`
4AC = 8 × 2.8
AC = `(8 xx 2.8)/4` = 5.6 cm
Consider `8/4 = 6.5/"AQ"`
8AQ = 4 × 6.5
AQ = `(4 xx 6.5)/8` = 3.25 cm
Length of AC = 5.6 cm, Length of AQ = 3.25 cm
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