a)
Pole
[tex] \frac{e \times f}{2} = \frac{4 \sqrt{10} \times 4 \sqrt{10} }{2} = \frac{16 \sqrt{10} }{2} = 8 \sqrt{10} [/tex]
Obwód
[tex]7 \times 4 = 28[/tex]
b)
Obliczmy wysokość:
[tex] {h}^{2} + {12}^{2} = {13}^{2} \\ {h}^{2} + 144 = 169 \\ {h}^{2} = 25 \\ h = \sqrt{25} = 5[/tex]
Pole
[tex] \frac{(a + b) \times h}{2} = \frac{(12 + 36) \times5 }{2} = \frac{48 \times 5}{2} = 24 \times 5 = 120[/tex]
Obwód:
[tex]13 + 12 +13 + 36 = 26 + 48 = 74[/tex]
