Question

b is the midpoint of ac, d is the midpoint of ce, bd=3x, and ae=60. find tye length of ab if ac= 5x+10

Answer 1

AB = 30 units.

Explanation:

Given that in a triangle ACE, B and D are mid points of AC and CE respectively.

By triangle theorem for mid points, we have

BD = 1/2 AE

Since AE is given as 60, we get BD =30

But BD also equals 3x (given)

So 3x=30 or x =10

Substitute in AC to get AC = 5x+10 = 5(10)+10 = 60

AB = 1/2 AC = 1/2 (60) = 30 units.