Question

ABC is isosceles triangle with AB=AC=2a and BC=a.
If AD perpendicular BC,find the length of AD

Answer 1

Answer:

root (15/2)

Step-by-step explanation:

let the perpendicular ad bisects bc

therefore length of bd=1/2 a

according to pythagoras theorem

hypotenuse square=Base square +perpendicular square

ac square=1/2 bc square +ad square

4a^2 =a^2/4+ad square

therefore ad square =4a^2- a^2/4

therefore ad=a root 15/2