1. [latex](a+b)*h/2 8=2a /2 4=a P= 15+4[latex] sqrt{3} [/latex]+11 *4/2= 26+4[latex] sqrt{3} [/latex] *4/2=26+4[latex] sqrt{3} [/latex]*2=52+8[latex] sqrt{3} [/latex] P=52+8[latex] sqrt{3} [/latex] obw=11+11+4+4*2+4[latex] sqrt{3} + 4 sqrt{2} [/latex]=34+[latex]4 sqrt{2} +4 sqrt{3} [/latex] 2. a)romb [latex] x^{2} +(4 sqrt{3} ) ^{2} =8 ^{2} [/latex] x^{2} +16*3=64 x=64-48 x=16 16+16=32 P=e*f/2 P=32*32/2=512jkwadratowych Obw=8*4=32 b) trapez [latex]15 ^{2} + x^{2} =25 ^{2} [/latex] 225+ x^{2} = 625 P=25+25*[/latex] x^{2}=625-225 x^{2}=pierwiastek z 400 x=20 obw=15*3+25*3=45+73=120 3. [latex] sqrt{5} + x^{2} =5^{2} [/latex][latex] 5+ x^{2} =25 x²=25-5 √x²=√20 x=2√5 (2√5)²+a²=9³ 4*5+a²=81 a²=81-20 √a²=√61 a=√61 x²+6²=(4,8√2)² x²+36=23,04*2 x²=46,08-36=10,08 x=√10,08 (2√7)²+4²=y² 28+16=y² √44=y² y=2√11 b²+(√10,08)²=(2√11 )² b²+10,08=4*11 b²+10,08=44 b²=44-10,08 b=√33,2
