## Mathematics

# Geometry Challenge

## Three Squares

The black triangle is drawn, and a square is drawn on each of its edges. The three shaded triangles are then formed by drawing three lines which join vertices of the squares and a square is now drawn on each of these three lines. The total area of the original three squares is A1, and the total area of the three new squares is A2. Given that A2 = kA1, what’s k?