Question

dau 55 de puncte pentru problema 49

Answer 1

AP/AC=1/7
PC/AC=6/7
BN/BC=2/3
NC/BC=1/3
BM/AB=1/4
AM/AB=3/4

AΔAMP/AΔABC= 1/2 * (AM*AP*sinA)/ 1/2 * ( AB*AC*sinA)  ⇒

⇒ AM/AB * AP/AC = 3/4*1/7 = 3/28

Va rezulta  ⇒

⇒ AΔPNC/AΔABC = PC/AC * NC/BC = 6/7* 1/3 = 2/7 (simplificati cu 3 nr )

AΔBMN/AΔABC = BM/AB * BN/BC = 1/4 * 2/3 = 1/6 ( simplificati cu 2 nr )

AΔMNP=AΔABC -  ( AΔAMP+ AΔPNC+AΔBMN) = AΔABC-AΔABC * (3/28+2/7+1/6) = ... (Aici tre sa calculezi tu)...

/ - Inseamna supra
Sper ca te am ajutat!!!