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Question
Check whether AD is bisector of ∠A of ∆ABC of the following
AB = 4 cm, AC = 6 cm, BD = 1.6 cm and CD = 2.4 cm.
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Solution
In ∆ABC, AB = 4 cm, AC = 6 cm, BD = 1.6 cm, CD = 2.4 cm
`"BD"/"DC" = 1.6/2.4 = 16/24 = 2/3`
`"AB"/"AC" = 4/6 = 2/3`
∴ `"BD"/"DC" = "AB"/"AC"`
By angle bisector theorem; AD is the internal bisector of ∠A
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