Question

Calculati lungimea laturilor necunoscute:

Answer 1

1) cosK=1/2,dar  cos K=NK/Mk⇒1/2=NK/MK  ⇒MK=2NK=2*7=14.
Din t. pitagora MN=$\sqrt{ MK^{2}- NK^{2} }= \sqrt{196-49}=7 \sqrt{3}$
2)ctgR=2/3; si ctg=QR/QP⇒ 2/3=QR/12  ⇒QR=24/3=8; RP=$\sqrt{ QP^{2}+QR^2 } + \sqrt{144+64} = \sqrt{16*13}=4 \sqrt{3}$