use the figure below to answer questions #4 - 7.
anthony claims that $ \triangle k l m $ is an isosceles triangle.
what is the length of side lm?
round side length to the nearest hundredth (two decimal places)

Question

Accepted Answer

# Answer:
$6.40$
# Explanation:
## Step1: Determine the coordinates of points $L$ and $M$
Assume $L(x_1,y_1)$ and $M(x_2,y_2)$. From the grid (assuming standard coordinate - grid where each square has side - length $1$), if $L(- 3,6)$ and $M(0,1)$
## Step2: Use the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute $x_1=-3,y_1 = 6,x_2 = 0,y_2=1$ into the formula:
$$
\begin{align*}
d&=\sqrt{(0-(-3))^2+(1 - 6)^2}\
&=\sqrt{(3)^2+(-5)^2}\
&=\sqrt{9 + 25}\
&=\sqrt{34}
\end{align*}
$$
## Step3: Calculate the numerical value
$\sqrt{34}\approx6.40$ (rounded to the nearest hundredth)

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QUESTION IMAGE

Question

Explanation:

Step1: Determine the coordinates of points \(L\) and \(M\)

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

Step3: Calculate the numerical value

Answer: