Răspuns :
In triunghiul VOM cu Teorema lui Pitagora VM patrat=VO patrat+OM patrat=144+25=radical din 169=13
Inaltimea intr-un triunghi dreptunghic=c1 ori c2/2=5 ori 12/13=60/13 cm
Inaltimea intr-un triunghi dreptunghic=c1 ori c2/2=5 ori 12/13=60/13 cm
Aplicam Pitagora:
[tex]VM=\sqrt{VO^{2}+OM^{2}}=\sqrt{12^{2}+5^{2}}=\sqrt{144+25}=\sqrt{169}=13[/tex]
VO × OM = VM × OP
12 × 5 = 13 × OP
60 = 13 × OP
[tex]OP = \frac{60}{13} [/tex]
[tex]VM=\sqrt{VO^{2}+OM^{2}}=\sqrt{12^{2}+5^{2}}=\sqrt{144+25}=\sqrt{169}=13[/tex]
VO × OM = VM × OP
12 × 5 = 13 × OP
60 = 13 × OP
[tex]OP = \frac{60}{13} [/tex]