Răspuns:
Explicație pas cu pas:
construim CE⊥AB⇒
AE=CD =8 cm si BE =4 cm
ΔCEB = drept.
CE²=CB²-BE²=8²-4²=64-16=48
CE=√48 =4√3 cm
b)
CD║AB⇒MC/MB=CD/AB
MC/MC+8 =8/12
12MC=8(MC+8)
12MC=8MC+64
12MC-8MC=64
4MC=64
MC=64/4 =16 cm
MB=MC+CB=16+8=24 cm
AM²=MB²-AB²=24²-12²=576-144=432
AM=√432 =12√3 cm
Aamb =AM*AB/2 =12√3*12/2 =72√3 cm²
