Question

B is the midpoint of AC and d is the midpoint of ce BD = 3x, and AE = 60. Find the length of AB if AC = 5x + 10.

60
30
20
10

Answer 1

ab=30 with a scale factor of 2:1

Answer 2

The length of AB is 30 units.

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.

∴
`BD=(1)/(2)AE`

⇒
`3x=(1)/(2)* 60`

⇒
`x=10units`

As, B is the mid-point of AC

⇒
`AB=(1)/(2)AC=(1)/(2)(5x+10)=(1)/(2)(5(10)+10)=30units`

The length of AB is 30 units.