Question

B is the midpoint of AC, D is the midpoint of CE, and BD=15. find AE

Answer 1

AE= 30 because it's BD x2

Answer 2

The length of AE is 30 units.

Explanation:

Given that B is the mid point of AC and D is the mid-point of CE in ΔABC.

Also, BD=15 units

we have to find the length of AE

By mid-point theorem

The line joining the mid-points of two sides of triangle is parallel to third side and also half of the length of third side.

∴
`BD=(1)/(2)AE`

`15=(1)/(2)* AE`

`AE=15* 2=30 units`

Hence, the length of AE is 30 units.