Question

Intr-un trapez AC intersectat cu BD =O. OD/OB=1/3; AC = 16, calculati AO si OC?

Answer 1

DC II AB => T Th(teorema lui Thales) :
$\frac{OD}{OB}= \frac{OC}{OA}$
$\frac{1}{3}= \frac{OC}{16-OC}$
16-OC=3OC
4OC=16
OC=4 cm
OA=16-OC=16-4=12 cm