Wysokosc dzieli kat alfa na pół.
a)
[tex] \alpha = 37 \\ \beta = \alpha \div 2 = 18.5 \\ cos18.5 = \frac{h}{10} \\ 0.9483 = \frac{h}{10} \\ h = 9.483 \\ c = 2b \\ sin18.5 = \frac{b}{10} \\ 0.3173 = \frac{b}{10} \\ b = 3.173 \\ c = 2b = 2 \times 6.346 \\ p = \frac{c \times h}{2} = \frac{6.346 \times 9.483}{2} = 30cm^{2} [/tex]
b)
[tex] \alpha = 70 \\ a = 6 \\ \beta = 35 \\ cos35 = \frac{h}{6} \\ \\ 0.8192 = \frac{h}{6} \\ h = 4.9152 \\ sin35 = \frac{b}{6} \\ 0.5136 = \frac{b}{6} \\ b = 3.0816 \\ c = 2b = 2 \times 3.0816 = 6.1632 \\ p = \frac{c \times h}{2} = \frac{6.1698 \times 4.9152}{2} = 25.86 = 26cm^{2} [/tex]
