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Question
Check whether AD is bisector of ∠A of ∆ABC of the following
AB = 5 cm, AC = 10 cm, BD = 1.5 cm and CD = 3.5 cm
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Solution
In ∆ABC, AB = 5 cm, AC = 10 cm, BD = 1.5 cm, CD = 3.5 cm
`"BD"/"DC" = 1.5/3.5 = 15/35 = 3/7`
`"AB"/"AC" = 5/10 = 1/2`
`"BD"/"DC" ≠ "AB"/"AC"`
∴ AD is not a bisector of ∠A.
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