Question 29
The sides of two equilateral triangles $FGH$ and $IJK$ meet at points $X,Y,Z,U,V$ and $W$ as shown, where $IJ\parallel FH$. The perimeters of triangles $IXW,IJK$ and $FGH$ are 100 cm, 500 cm and 700 cm respectively, and $\angle GXY=60^\circ$. What is the perimeter, in centimetres, of $\triangle ZHU$?
