21. [latex]Ob=2a+2b[/latex] [latex] b=a-18\ 100=2a+2(a-18) \ 100=2a+2a-36 \ 100=4a-36 \ 4a=100+36 \ 4a=136\ a=34 \ b=34+18 \ b=16[/latex] 22. [latex]P= frac{1}{2} (a+b)h \ P= frac{1}{2}(6+8) 4 \ P= frac{1}{2} *14*4 \ P=28[/latex] 8-6=2 [latex]2^{2} +4^2=d^2 \ 4+16=d^2 \ d^2=20 \ d= sqrt{20} \ d=2 sqrt{5} [/latex] [latex]Ob=4+6+8+2 sqrt{5} \ Ob=18+2 sqrt{5} [/latex] 23. [latex]6^2+h^2=8^2 \ 36+h^2=64 \ h^2=64-36 \ h^2=28 \ h= sqrt{28} \ h=2 sqrt{7} [/latex] [latex]Ob=4+8+10+2 sqrt{7 } \ Ob=22+2 sqrt{7} [/latex] [latex]P= frac{1}{2}(a+b)h \ P= frac{1}{2} *14*2 sqrt{7} \ P=7*2 sqrt{7} [/latex] [latex]sin alpha = frac{2 sqrt{7} }{8} \ cos alpha = frac{6}{8} \ tg alpha = frac{2 sqrt{7} }{6} \ ctg alpha = frac{6}{2 sqrt{7} } [/latex] 24. [latex]d^2+9^2=18^2 \ d^2+81=324 \ d^2=324-81 \ d^2=243 \ d= sqrt{243} [/latex] [latex]P= frac{1}{2} *(9+18)* sqrt{243} \ P= frac{1}{2} *27* sqrt{243} \ P=13,5 sqrt{243} [/latex] [latex]Ob=18+18+9+ sqrt{243} \ Ob=45+ sqrt{243} [/latex] 25. [latex]h^2+5^2=13^2 \ h^2+25=169 \ h^2=144 \ h=12[/latex] [latex]Ob=8+18+13+13=52[/latex] [latex]P= frac{1}{2} *26*12=13*12=156[/latex] 26. 1cm na mapie= 500 wrzeczywistości 500*6=3000cm=30m 500*4=2000cm=20m 30*20=600m²=6 ar
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