SOLUTION: Points A, B and C are collinear. Point B is the midpoint of the line segment AC. Point D is a point not collinear with the other points for which DA=DB and DB=BC=10. Then DC is: A

Question 1044204: Points A, B and C are collinear. Point B is the midpoint of the line segment AC. Point D is a point not collinear with the other points for which DA=DB and DB=BC=10. Then DC is:
A) 20/✔️3
B) 10✔️2
C) 10✔️3
D) 20
E) 40/✔️3
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let y = distance of point D from segment AB.
Then .
===>
But also the distance of the foot of the perpendicular bisector of AB from point C is 5+10 = 15 units. Hence,

===> ===>
===> .
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