isosceles triangles cut into 3 triangles, 2/3 isosceles, 2022 May Olympiad L1 P5
Source:
September 4, 2022
geometryisosceles
Problem Statement
Vero had an isosceles triangle made of paper. Using scissors, he divided it into three smaller triangles and painted them blue, red and green. Having done so, he observed that:
with the blue triangle and the red triangle an isosceles triangle can be formed,
with the blue triangle and the green triangle an isosceles triangle can be formed,
with the red triangle and the green triangle an isosceles triangle can be formed.
Show what Vero's triangle looked like and how he might have made the cuts to make this situation be possible.