A random triangle is drawn, and a blue square is drawn out from each of it's edges. Three more shaded triangles are formed by drawing the three lines connecting the vertices of the squares, and a red square is now drawn out from each of these lines too. The total area of the blue squares is A1, and the total area of the red squares is A2. Given that A2 = kA1, what is k?

To make it easier, it's one of these 5 {1, 1.5, 2, 3, holyshag}.