[tex]a)\\\\h^2+4^2=10^2\\\\h^2+16=100\\\\h^2=100-16\\\\h^2=64\\\\h=\sqrt{64}\\\\h=8[/tex]
[tex]b)\\\\h^2+5^2=13^2\\\\h^2+25=169\\\\h^2=169-25\\\\h^2=144\\\\h=\sqrt{144}\\\\h=12[/tex]
[tex]c)\\\\h^2+3^2=9^2\\\\h^2+9=81\\\\h^2=81-9\\\\h^2=72\\\\ h=\sqrt{72}=\sqrt{36*2} =6\sqrt{2}[/tex]