a)
[tex] {h}^{2} + {5}^{2} = {7}^{2} \\ {h}^{2} = 49 - 25 \\ {h}^{2} = 24 \\ h = \sqrt{24} = \sqrt{4 \times 6} = 2 \sqrt{6} [/tex]
Pole
[tex] \frac{10 \times 2 \sqrt{6} }{2} = 5 \times 2 \sqrt{6} = 10 \sqrt{6} [/tex]
Obwód
[tex]5 + 5 + 7 + 7 = 10 + 14 = 24[/tex]
b)
[tex] {x}^{2} + {12}^{2} = {13}^{2} \\ {x}^{2} + 144 = 169 \\ {x}^{2} = 25 \\ x = 5 \\ \\ \\ {y}^{2} + {12}^{2} = {15}^{2} \\ {y}^{2} + 144 = 225 \\ {y}^{2} = 81 \\ y = 9[/tex]
Podstawa
[tex]5 + 9 = 14[/tex]
Pole
[tex] \frac{14 \times 12}{2} = \frac{14 \times 6}{1} = 84[/tex]
Obwód
[tex]5 + 9 + 15 + 13 = 29 + 13 = 42[/tex]
Myślę że pomogłem ;)
