in ∆ Abc, AD is the perpendicular bisector of BC. Show that ∆ ABC is an isosceles triangle in which AB=AC.
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below is proved...
Step-by-step explanation:
Given: In A ABC, AD is the perpendicular bisector of BC.
To Prove: A ABC is an isosceles triangle in which AB = AC.
Proof: In A ADB and AADC, ZADB = ZADC |Each = 90° DB = DC
|: AD is the perpendicular bisector of BC
AD = AD | Common
:: ADB = AADC | By SAS Rule
:. AB = ACC.P.C.T.
. AABC is an isosceles triangle in which AB = AC.
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