Question

in angle ABC ,ad is the perpendicular bisector of BC show that angle abc is an isosceles triangle in which ab is equal to ac

Answer 1

Hope this helps.......

Answer 2

Since, AD is a perpendicular bisector of BC

We get BD = DC and ∠ADB = ADC = 90°

Now,

In triangle ADB and ADC,

AD = AD (common)

∠ADB = ADC = 90° (given)

BD = DC (given)

(SAS congruency)

Thus, AB = AC (corresponding parts of congruent triangles)

Hence, triangle ABC is an isosceles triangle.
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