Question

Consider triangle GHJ.

Answer 1

5 with square root 3 

Answer 2

we know that

Applying the Pythagorean Theorem

$JG^{2} =HJ^{2}+HG^{2}$

solve for HJ

$HJ^{2}=JG^{2}-HG^{2}$

in this problem we have

$JG=10\ units\\ HG= 5\ units$

Substitute the values in the formula above

$HJ^{2}=10^{2}-5^{2}$

$HJ^{2}=100-25$

$HJ^{2}=75$

$HJ=\sqrt{75}=5\sqrt{3} \ units$

therefore

the answer is the option

B. 5 sq. root 3 units