Ответы
Ответ дал:
2
Вычислим длины сторон треугольника:
![a = \sqrt{(1 - 10)^2 + (6 - 6)^2} = 9 \\
b = \sqrt{(10 - 10)^2 + (6 - 8)^2} = 2 \\
c = \sqrt{(1 - 10)^2 + (6 - 8)^2} = \sqrt{85} \\
S = \sqrt{p(p-a)(p-b)(p-c)} \\
p = \frac{11 + \sqrt{85} }{2} \\
S = \sqrt{(\frac{11 + \sqrt{85} }{2})*(\frac{7 + \sqrt{85} }{2})*(\frac{\sqrt{85} - 7}{2})*(\frac{11 - \sqrt{85} }{2})} \\
S = \sqrt{ (\frac{121 - 85}{4})*(\frac{85- 49}{4}) } \\
S = \sqrt{ \frac{36}{4}* \frac{36}{4} } = 9 \\
S = 9 a = \sqrt{(1 - 10)^2 + (6 - 6)^2} = 9 \\
b = \sqrt{(10 - 10)^2 + (6 - 8)^2} = 2 \\
c = \sqrt{(1 - 10)^2 + (6 - 8)^2} = \sqrt{85} \\
S = \sqrt{p(p-a)(p-b)(p-c)} \\
p = \frac{11 + \sqrt{85} }{2} \\
S = \sqrt{(\frac{11 + \sqrt{85} }{2})*(\frac{7 + \sqrt{85} }{2})*(\frac{\sqrt{85} - 7}{2})*(\frac{11 - \sqrt{85} }{2})} \\
S = \sqrt{ (\frac{121 - 85}{4})*(\frac{85- 49}{4}) } \\
S = \sqrt{ \frac{36}{4}* \frac{36}{4} } = 9 \\
S = 9](https://tex.z-dn.net/?f=a+%3D+%5Csqrt%7B%281+-+10%29%5E2+%2B+%286+-+6%29%5E2%7D+%3D+9+%5C%5C%0Ab+%3D+%5Csqrt%7B%2810+-+10%29%5E2+%2B+%286++-+8%29%5E2%7D++%3D+2+%5C%5C%0Ac+%3D+%5Csqrt%7B%281+-+10%29%5E2+%2B+%286+-+8%29%5E2%7D+%3D++%5Csqrt%7B85%7D+%5C%5C%0A%0AS+%3D+%5Csqrt%7Bp%28p-a%29%28p-b%29%28p-c%29%7D+%5C%5C%0Ap+%3D++%5Cfrac%7B11+%2B++%5Csqrt%7B85%7D+%7D%7B2%7D+%5C%5C%0AS+%3D++%5Csqrt%7B%28%5Cfrac%7B11+%2B++%5Csqrt%7B85%7D+%7D%7B2%7D%29%2A%28%5Cfrac%7B7+%2B++%5Csqrt%7B85%7D+%7D%7B2%7D%29%2A%28%5Cfrac%7B%5Csqrt%7B85%7D+-+7%7D%7B2%7D%29%2A%28%5Cfrac%7B11+-+%5Csqrt%7B85%7D+%7D%7B2%7D%29%7D+%5C%5C%0AS+%3D+%5Csqrt%7B+%28%5Cfrac%7B121+-+85%7D%7B4%7D%29%2A%28%5Cfrac%7B85-+49%7D%7B4%7D%29+%7D+%5C%5C%0AS+%3D+%5Csqrt%7B+%5Cfrac%7B36%7D%7B4%7D%2A+%5Cfrac%7B36%7D%7B4%7D+%7D+%3D+9+%5C%5C%0AS+%3D+9)
Ответ дал:
1
Эта же задача,только графически
Приложения:
![](https://st.uroker.com/files/9ec/9ec60990ee5db9be9bda88568e04b52c.jpg)
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