ABC is an equilateral triangle. AD is perpendicular bisector of BC. BX is the angle bisector of angle ABC. Show that triangle BXD is similar to triangle ACD.

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ABC is an equilateral triangle. AD is perpendicular bisector of BC. BX is the angle bisector of angle ABC. Show that triangle BXD is similar to triangle ACD.

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Answered Same DayDec 21, 2021

Answer To: ABC is an equilateral triangle. AD is perpendicular bisector of BC. BX is the angle bisector of...

Robert answered on Dec 21 2021
116 Votes
As ∆ABC is equilateral, Since, BX is the angle bisector, so = 60/2 = 30
In ∆BXD, For ∆BXD and ∆ACD,
So, ∆BXD ~ ∆ACD. Hence, proved.
AC = 2cm...
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