Question

Fie punctele coliniare A,B,C,D in aceasta ordine.Daca M,N,P sunt mijloacele segmentelor AB,BC,CD si MN=9cm,NP=7cm iar AB+CD=16cm,calculati media aritmetica a lungimilor segmentelor AB,BC si CD. !!!!! Dau 100 puncte !!!!! Urgent

Answer 1

VEZI FIGURA
AB+CD=16
$\frac{AB+BC+CD}{3} =?$
AB+BC+CD=AM+MN+NP+PD=AM+9+7+PD (1)
AB+CD=16; 2AM+2PD=16⇒AM+PD=8 (2)
inlocuim 2 in 1⇒AB+BC+CD=8+9+7=24
$\frac{AB+BC+CD}{3} = \frac{24}{3} =8$