we know that
Applying the Pythagorean Theorem
[tex]JG^{2} =HJ^{2}+HG^{2}[/tex]
solve for HJ
[tex]HJ^{2}=JG^{2}-HG^{2}[/tex]
in this problem we have
[tex]JG=10\ units\\ HG= 5\ units[/tex]
Substitute the values in the formula above
[tex]HJ^{2}=10^{2}-5^{2}[/tex]
[tex]HJ^{2}=100-25[/tex]
[tex]HJ^{2}=75[/tex]
[tex]HJ=\sqrt{75}=5\sqrt{3} \ units[/tex]
therefore
the answer is the option
B. 5 sq. root 3 units
