a:b:c=1:2:3
a, b=2a, c=3a
0\\\\a=5\\ b=2a=2*5=10\\c=3a=3*5=15 " alt="a^2+b^2+c^2=d^2\\\\a^2+(2a)^2+(3a)^2=(5\sqrt{14})^2\\\\a^2+4a^2+9a^2=25*14\\\\14a^2=25*14\\\\a^2=25, a>0\\\\a=5\\ b=2a=2*5=10\\c=3a=3*5=15 " align="absmiddle" class="latex-formula">
Ответ: 5 см, 10см, 15см