SOLUTION: In triangle ABC, AB = AC, and line segment AD bisects line BC. If AB = 6 and BC = 4, then what is the length of AD ?

Question 597574: In triangle ABC, AB = AC, and line segment AD bisects line BC. If AB = 6 and BC = 4, then what is the length of AD ?

Answer by w_parminder(53) (Show Source): You can put this solution on YOUR website!
Triangle ABC is an isosceles triangle as AB = AC, therefore the median AD is perpendicular to the base BC. So, in triangle ABD, angle ADB = 90 degree. In triangle ABD, AB = 6, BD = BC/2 i.e. BD = 2. We can apply pythagoras theorem,i.e.

= 32
AD = √32
AD ≈ 5.657
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