Answer to Question #141231 in Geometry for janae

Question

c is the midpoint of ad.b is the midpoint of ac. bc=12. what is the length of ad

Answer 1

In the figure, C is the midpoint of AD.

$\therefore AC=CD$ ...............(1)

B is the midpoint of AC.

$\therefore AB=BC$ .................(2)

Given $BC=12$ and we need to find $AD.$

From (2), $AB=BC=12$

From figure, $AC=AB+BC=12+12=24$

From (1), $AC=CD=24$

From figure, $AD=AC+CD=24+24=48$

Thus, the length of AD is 48.