The orange lines are parallel, the purple lines are parallel, the dotted gray lines intersect the base at equal distances. What is the ratio of areas of the blue and green triangles?

Solution

Green : blue = 1 :1.

QIM is a rotation around M of GJM which is similar to GSU. Pair of angles at G and Q are the same => IL =LM => Blue = Green.

The orange lines are parallel, the purple lines are parallel, the dotted gray lines intersect the base at equal distances. What is the ratio of areas of the blue and green triangles? https://t.co/Zv52jZPSGs By @MarshallWBuck pic.twitter.com/B6z2YpSLzS

— Mirangu (@Mirangu1) March 22, 2024