Áp dụng định lí côsin, ta có:
c2 = a2 + b2 - 2abcosC = 242 + 362 - 2. 24 . 36 . cos52° 808,14.
=> c ≈ 28,43.
Áp dụng định lí sin, ta có :
$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$ => $\frac{24}{sinA}$ = $\frac{36}{sinB}$ = $\frac{28,43}{sin52°}$
=> sinA $\frac{24 . sin52°}{28,43}$ ≈ 0,665 ; sinB $\frac{36 . sin52°}{28,43}$ ≈ 0,998
=> Góc A ≈ 41°40'56'' , góc B ≈ 86°22'32''.Áp dụng định lí sin, ta có :
$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$ => $\frac{24}{sinA}$ = $\frac{36}{sinB}$ = $\frac{28,43}{sin52°}$
=> sinA $\frac{24 . sin52°}{28,43}$ ≈ 0,665 ; sinB $\frac{36 . sin52°}{28,43}$ ≈ 0,998
=> Góc A ≈ 41°40'56'' , góc B ≈ 86°22'32''.