Question

fie triunghiul ABC m(A)=90 grade si AD perp BC,D apartine BC a)ab=9 cm si bd=3 cm calculati bc b)daca ac=8 cm si bc=16 cm calculati cd c)bd=21 cm si bc=84 cm calculati ab si ac

Answer 1

a) aplic teorema catetei
AB^2=BD*BC
BC=AB^2/BD=9^2/327

b)
aplic iar teorema catetei
AC^2=CD*BC   CD=AC^2/BC=8^2/16=4

c) aplic teorema catetei
AB^2=BD*BC=21*84  AB=42

cu Pitagora
AC^2=BC^2-AB^@= 84^2-42^2=(84-42)(84+42)=42*3*42
AC=42rad3