Answer:
The length of AB is 30 units.
Step-by-step explanation:
Given B is the midpoint of AC and D is the midpoint of CE.
BD = 3x, AE = 60 and AC = 5x + 10
we have to find the value of AB.
As B is the mid point of AC and D is the mid-point of CE.
By mid-point formula, the length of line joining the mid-points of two sides of triangle is half of the parallel side.
∴ [tex]BD=\frac{1}{2}AE[/tex]
⇒ [tex]3x=\frac{1}{2}\times 60[/tex]
⇒ [tex] x=10units[/tex]
As, B is the mid-point of AC
⇒ [tex]AB=\frac{1}{2}AC=\frac{1}{2}(5x+10)=\frac{1}{2}(5(10)+10)=30units[/tex]
The length of AB is 30 units.
