10. In the figure, AD is the median of traingle ABC. BE and CF are perpendiculars from B and C on AD and AD produced. Prove that BE = CF.
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Step-by-step explanation:
In ΔBCE & ΔBFC,
- BC=CB ( Common side)
2. angle BEC= angle CFB=90°( perpendiculars)
3. BF= CE ( mid pt. theorem)
therefore, by S.A.S, ΔBCE congruent to ΔBFC
By C.P.C.T , BE=CF (proved)
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