1.

in triangle ABC, AD is the perpendicular bisector of BC. show that triangle ABC is an isosceles triangle in which AB = AC.

Answer»

Step-by-step EXPLANATION:

AD is PERPENDICULAR bisector i.e. BD = DC and ANGLE ADB = angleADC = 90°

Taking ∆ADB and ∆ADC

BD = DC

angle ADB = angleADC = 90°

AD = AD (common)

By S.A.S congruence rule,

∆ADB and ∆ADC are congruent triangles i.e.

AB = BC

HENCE,∆ABC IS AN ISOSCELES TRIANGLE.

PROVED.

MARK AS BRAILIEST AND FOLLO W ME



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