Question

consider triangle ghj. what is the length of line segment hj? 5 units 5√3 units 10 units 10√3 units

Explanation:

Step1: Apply Pythagorean theorem

Let $HJ = x$. In right - triangle $GHJ$, by $a^{2}+b^{2}=c^{2}$, where $a = 5$, $b=x$, $c = 10$. So $x^{2}+5^{2}=10^{2}$.

Step2: Solve for $x$

$x^{2}=10^{2}-5^{2}=100 - 25=75$. Then $x=\sqrt{75}=5\sqrt{3}$.

Answer:

$5\sqrt{3}$ units