Вектора
ВА (-3;3)
ВС (3;4)
соs B = BA*BC / | BA | / | BC | =
( -3*3 +3*4 ) / √((-3)^2+3^2) / √(3^2+4^2) = 3/(3√2)/5= √2/10
S(ABC) = 1/2 * | BAxBC | = 1/2 * | -3*4 -3*3 | = 10.5
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Verified answer
Вектора
ВА (-3;3)
ВС (3;4)
соs B = BA*BC / | BA | / | BC | =
( -3*3 +3*4 ) / √((-3)^2+3^2) / √(3^2+4^2) = 3/(3√2)/5= √2/10
S(ABC) = 1/2 * | BAxBC | = 1/2 * | -3*4 -3*3 | = 10.5