Предмет: Геометрия, автор: 123QAZ456WSC

в треугольнике две стороны равны 12 и 8 см,а угол между ними 60градусов.найдите площадь треугольника

Ответы

Автор ответа: f1naL

Итак, начертим треугольник ABC:
Боковые стороны AB=12 и BC=8
Угол B-60 (<B=60) sin60= $frac{ sqrt{3} }{2}$
Найдем площадь через две стороны и угол между ними:
$S= frac{1}{2}(12*8)*sin60\S= frac{96}{2} * frac{ sqrt{3} }{2} = 24 * sqrt{3} =24 sqrt{3}$
Ответ : $24 sqrt{3}$

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Var k, m: integer;
Dat: array[1..11] of integer;
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