Question

anthony claims that \\( \triangle k l m \\) is an isosceles triangle. what is the length of \\( \overline{l k} \\)?

Explanation:

Step1: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

Step2: Identify the coordinates of \(L\) and \(K\)

Assume \(L(x_1,y_1)\) and \(K(x_2,y_2)\). From the grid (assuming standard coordinate system), if \(L\) is at \((2,2)\) and \(K\) is at \((6,5)\).

Step3: Substitute into the distance formula

\(d=\sqrt{(6 - 2)^2+(5 - 2)^2}=\sqrt{4^2+3^2}=\sqrt{16 + 9}=\sqrt{25}\)

Answer:

\(5\)