Tw. Pitagorasa
a)
[tex]6^{2} +4,5^{2} =x^{2} \\36+20,25=x^{2} \\x^{2} =56,25\\x=\sqrt{56,25} =7,5[/tex]
[tex]Obw=7,5+7,5+4,5+4,5=24[/tex]
[tex]P=\frac{1}{2} a*h\\P=\frac{1}{2}9*6\\P=9*3\\P=27j^{2}[/tex]
b)
[tex]5^{2}+x^{2} =13^{2} \\25+x^{2} =169 /-25\\x^{2} =144\\x=\sqrt{144} =12[/tex]
[tex]Obw=13+13+12+12=50[/tex]
[tex]P=\frac{1}{2} *24*5\\P=12*5\\P=60j^{2}[/tex]
c)
[tex]x^{2} +2^{2} =(2\sqrt{10} )^{2} \\x^{2} +4=40 /-4\\x^{2} =36\\x=\sqrt{36} =6[/tex]
[tex]Obw=4+2\sqrt{10} +2\sqrt{10} =4+4\sqrt{10}[/tex]
[tex]P=\frac{1}{2} *4*6\\P=2*6\\P=12j^{2}[/tex]
