anthony claims that $ \triangle klm $ is an isosceles triangle. what is the length of $ \overline{lm} $?

Question

Accepted Answer

# Explanation:
## Step1: Identify coordinates of $L$ and $M$
Assume $L(x_1,y_1)$ and $M(x_2,y_2)$. From the grid (assuming standard coordinate - grid with each square as 1 unit), if $L=(5,1)$ and $M=(9,3)$
## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute $x_1 = 5,y_1 = 1,x_2 = 9,y_2 = 3$ into the formula:
$$
\begin{align*}
d&=\sqrt{(9 - 5)^2+(3 - 1)^2}\
&=\sqrt{4^2+2^2}\
&=\sqrt{16 + 4}\
&=\sqrt{20}\
&=2\sqrt{5}\approx4.47
\end{align*}
$$

# Answer:
The length of $\overline{LM}$ is $2\sqrt{5}$ (or approximately $4.47$ units if using decimal approximation)

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Question

Explanation:

Step1: Identify coordinates of \(L\) and \(M\)

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Answer: