Question

Fie abcd un dreptunghi si punctul m apartine ab astfel incat am supra mb= 1 supra 4. daca mn paralel cu ac n apartine bd iar mn intersectat cu bc=p,calculati bp supra bc si bn supra bd

Answer 1

a)AM/MN=1/4⇒MB/MA=4/1⇒MB/AB=4/5=BP/BC

fie AC∩BD={O}
BN/BO=MB/MA=4/5
BO/BD=1/2 (intr-un dreptunghi diagonalele se injumatatesc);  BO=DB/2

BN /(DB/2)=4/5

2 BN/DB=4/5

BN/DB=4/10