Question

IN TRIUNGHIUL ABC DACA M,N MIJLOACELE LATURILOR AC SI BC DACA ARIA LUI MNC =8 DETERMINATI ARIA ABC=?

Answer 1

AΔABC=AC*BC*sin C totul supra 2


AΔCMN=CM*CN*sin C totul supra 2
CM=AC\2
CN=BC\2
AΔCMN=AC\2*BC\2"sin C totul supra 2=AC*BC*sinC\2*1\2= AC*BC*sinC\4
8=AC*BC*sinC\4  =>AC*BC*sin C=32
Stiim ca aria ΔABC=AC*BC*sinC\2=32\2=16 cm²