Zadanie 1.
Z tw. Talesa:
a)
[tex]\frac{2}{5}=\frac{2+x}{8}\\10+5x=16\\5x=6\ |:5\\x=\frac{6}{5}\\x=1\frac{1}{5}[/tex]
b)
[tex]\frac{x}{6}=\frac{x+4}{10}\\10x=6x+24\\4x=24\ |:4\\x=6[/tex]
c)
[tex]\frac{6}{x}=\frac{6+8}{12}\\14x=72\ |:14\\x=5\frac{1}{7}[/tex]
Zadanie 2.
Z tw. Pitagorasa:
a)
[tex]x^2+(2\sqrt3)^2=10^2\\x^2+4*3=100\\x^2+12=100\\x^2=88\\x=\sqrt{88}\\x=\sqrt{4*22}\\x=2\sqrt{22}[/tex]
b)
[tex]5^2+(\sqrt{11})^2=x^2\\25+11=x^2\\36=x^2\\x=\sqrt{36}\\x=6[/tex]
