consider triangle ghj.
what is the length of line segment hj?
5 units
5\sqrt{3} units
10 units
10\sqrt{3} units

Question

Accepted Answer

# Explanation:
## Step1: Apply Pythagorean theorem
In a right - triangle $GHJ$ with $\angle H = 90^{\circ}$, by the Pythagorean theorem $GJ^{2}=HJ^{2}+GH^{2}$. Let $HJ=x$, $GJ = 10$, $GH = 5$. Then $10^{2}=x^{2}+5^{2}$.
## Step2: Solve for $x$
$$
\begin{align*}
x^{2}&=10^{2}-5^{2}\
x^{2}&=100 - 25\
x^{2}&=75\
x&=\sqrt{75}\
x&=\sqrt{25\times3}\
x& = 5\sqrt{3}
\end{align*}
$$

# Answer:
$5\sqrt{3}$ units

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QUESTION IMAGE

Question

Explanation:

Step1: Apply Pythagorean theorem

Step2: Solve for \(x\)

Answer: