Question

In triangle abc, the median ad is perpendicular to ac. If b= 5 and c=11 then a/2 is equal to

Answer 1

First, as you did, label what you know

What do we know about medians and where they intersect?
Each median is divided into two-thirds and one-third its length at the midpoint. So, the 12 unit median is 8 units from point C to point G and 4 units from point E to point G.

What is the area of triangle BEC?
Area = ½ · base · height

Area = ½ · 12 · 163163

Area =½ · 64

(½ · 64) is half of the area of triangle ABC.

What is the area of triangle CBD?
Area = ½ · base · height

Area = ½ · 8 · 8

Area = ½ · 64

(½ · 64) is half of the area of triangle ABC.

What is the area of triangle ABC?
I get the same answer you do. If your book says the answer is 32
I hope this will help you this is just a example