In A ABC, AD is the perpendicular bisector of BC
(see Fig. 7.30). Show that A ABC is an isosceles
triangle in which AB = AC.
Fig. 7:30
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Given -
AB = AC
AD is the perpendicular bisector of BC
To find -
Triangle ABC is an isosceles triangle.
Solution -
In triangle ABD and triangle ACD
AD = AD [common]
AB = AC [given]
angle ADB = angle ADC [given]
Therefore Triangle ABD is congurent triangle ACD
Hence, Proved
Tirangle ABC is a isosceles triangle (CPCT)
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