In Figure, BD 1 AC, CE 1 AB such that BD = CE, show that :
(a) ABCE = ACBD (6) BE = CD
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Step-by-step explanation:
In ∆ ABD and BDC we have,
AD = CD ( mid point of AC).
BD = BD ( common).
ADB = BDC ( each 90°)
so by SAS congruence ∆ABD = ∆BDC
In ∆ACE and ∆BCE
AC = BC ( as isosceles triangle)
CE = CE ( common)
CEB = CEA ( each 90°)
so by SAS ACE = BCE
so we conclude that in this triangle all triangles are equal.
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