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

Answer:

The length of AE is 30 units.

Step-by-step 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.

∴ $BD=\frac{1}{2}AE$

$15=\frac{1}{2}\times AE$

$AE=15\times 2=30 units$

Hence, the length of AE is 30 units.