Find the ratio of the area of the red region to the area of the yellow region. Enter your answer as a fraction.
ABCDEFGH is a regular octagon
If you arrange the small triangles with the medium size ones, you can create a right triangle. If you draw a line connecting C and G, you can divide the quadrilateral into 4 triangles. You can now see that the yellow triangle and the combined red triangle are equal, so the answer is 1/2.
For example, let us set the intersection of AE and BH to X. if you move XAH to the bottom of XHG, you can create triangle XAG. Lets set the intersection of lines CG and AE to Y. XYG will equal to XHG. so yea i think. 1/2.