Posted by Anonymous on .
f equilateral triangle JKL is cut by three lines as shown above to form four equilateral triangles of equal area, what is the length of a side of one of the smaller triangles?

geometry 
Steve,
if we have similar triangles with sides in ration of r, then the areas are in the ratio of r^2.
Since each small triangle has 1/4 the area of the large triangle, its sides are 1/2 as big.