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timurkastolnikov
@timurkastolnikov
November 2021
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Найдите площадь треугольника ABC, если A(-3;-6),B(-3;1), C(4;4)
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hovsep50
→AB = (-3-(-3) ; 1-(-6)) = (0 ; 7) ⇒ AB =c = √(0²+7²) = 7
→BC = (4-(-3) ; 4-1) = (7 ; 3) ⇒ BC =a = √(7²+3²)=√58
→AC = (4-(-3) ; 4-(-6) ) = (7 ; 10) ⇒AC = b = √(7²+10²) = √149
S = √p(p-a)(p-b)(p-c) ; p = (a+b+c)/2
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Answers & Comments
→BC = (4-(-3) ; 4-1) = (7 ; 3) ⇒ BC =a = √(7²+3²)=√58
→AC = (4-(-3) ; 4-(-6) ) = (7 ; 10) ⇒AC = b = √(7²+10²) = √149
S = √p(p-a)(p-b)(p-c) ; p = (a+b+c)/2