1828-1910 это годы жизни Льва Толстого
В прямоугольном треугольнике квадрат длины гипотенузы равен сумме квадратов длин катетов.
![{c}^{2} = {a}^{2} + {b}^{2} \\ c = \sqrt{{a}^{2} + {b}^{2}}](https://tex.z-dn.net/?f=+%7Bc%7D%5E%7B2%7D++%3D++%7Ba%7D%5E%7B2%7D++%2B++%7Bb%7D%5E%7B2%7D++%5C%5C+c+%3D++%5Csqrt%7B%7Ba%7D%5E%7B2%7D++%2B++%7Bb%7D%5E%7B2%7D%7D)
Проверяем:
1)
![\sqrt{{( \sqrt{5} )}^{2} + {( \sqrt{6} )}^{2}} = \sqrt{5 + 6} = \\ = \sqrt{11}](https://tex.z-dn.net/?f=++%5Csqrt%7B%7B%28+%5Csqrt%7B5%7D+%29%7D%5E%7B2%7D++%2B++%7B%28+%5Csqrt%7B6%7D+%29%7D%5E%7B2%7D%7D++%3D++%5Csqrt%7B5+%2B+6%7D++%3D+%5C%5C++%3D+++%5Csqrt%7B11%7D+)
не подходит
2)
![\sqrt{{2}^{2} + {( \sqrt{15} )}^{2}} = \sqrt{4 + 15} = \\ = \sqrt{19}](https://tex.z-dn.net/?f=+%5Csqrt%7B%7B2%7D%5E%7B2%7D++%2B++%7B%28+%5Csqrt%7B15%7D+%29%7D%5E%7B2%7D%7D++%3D++%5Csqrt%7B4+%2B+15%7D++%3D+%5C%5C++%3D+++%5Csqrt%7B19%7D+)
подходит
3)
![\sqrt{{( 2\sqrt{2} )}^{2} + {( \sqrt{3} )}^{2}} = \sqrt{8 + 3} = \\ = \sqrt{11}](https://tex.z-dn.net/?f=+%5Csqrt%7B%7B%28+2%5Csqrt%7B2%7D+%29%7D%5E%7B2%7D++%2B++%7B%28+%5Csqrt%7B3%7D+%29%7D%5E%7B2%7D%7D++%3D++%5Csqrt%7B8+%2B+3%7D++%3D+%5C%5C++%3D+++%5Csqrt%7B11%7D+)
подходит
4)
![\sqrt{{( 2\sqrt{3} )}^{2} + {(2 \sqrt{2} )}^{2}} = \sqrt{12 + 8} = \\ = \sqrt{20}](https://tex.z-dn.net/?f=+%5Csqrt%7B%7B%28+2%5Csqrt%7B3%7D+%29%7D%5E%7B2%7D++%2B++%7B%282+%5Csqrt%7B2%7D+%29%7D%5E%7B2%7D%7D++%3D++%5Csqrt%7B12+%2B+8%7D++%3D+%5C%5C++%3D+++%5Csqrt%7B20%7D+)
не подходит
5)
![\sqrt{{( \sqrt{26} )}^{2} + {(2 \sqrt{3} )}^{2}} = \sqrt{26 + 12} = \\ = \sqrt{38}](https://tex.z-dn.net/?f=+%5Csqrt%7B%7B%28+%5Csqrt%7B26%7D+%29%7D%5E%7B2%7D++%2B++%7B%282+%5Csqrt%7B3%7D+%29%7D%5E%7B2%7D%7D++%3D++%5Csqrt%7B26+%2B+12%7D++%3D+%5C%5C++%3D+++%5Csqrt%7B38%7D+)
подходит
6)
![\sqrt{{( \sqrt{13} )}^{2} + {3}^{2}} = \sqrt{13 + 9} = \\ = \sqrt{22}](https://tex.z-dn.net/?f=+%5Csqrt%7B%7B%28+%5Csqrt%7B13%7D+%29%7D%5E%7B2%7D++%2B++%7B3%7D%5E%7B2%7D%7D++%3D++%5Csqrt%7B13+%2B+9%7D++%3D+%5C%5C++%3D+++%5Csqrt%7B22%7D)
не подходит
7)
![\sqrt{{( 2\sqrt{3} )}^{2} + {( 3\sqrt{6} )}^{2}} = \sqrt{12 + 54} = \\ = \sqrt{66}](https://tex.z-dn.net/?f=+%5Csqrt%7B%7B%28+2%5Csqrt%7B3%7D+%29%7D%5E%7B2%7D++%2B++%7B%28+3%5Csqrt%7B6%7D+%29%7D%5E%7B2%7D%7D++%3D++%5Csqrt%7B12+%2B+54%7D++%3D+%5C%5C++%3D+++%5Csqrt%7B66%7D+)
не подходит
Ответ: 2, 3 и 5
<span>(68,36 -y) / 6,15 = 8,2
68,36-y=8,2*6,15
68,36-y=50,43
y=68,36-50,43
y=17,93
(x + 5,7) / 5,1 =2
x+5,7=2*5,1
x+5,7=10,2
x=10,2-5,7
x=4,5</span>