Question

Given the equilateral triangle ABC; AE, BD, & CF are altitude intersecting at point G. How many right triangles are in the diagram?

Answer 1

Given the equilateral triangle ABC;

The following are the numbers of right triangles:

`\begin{gathered} CFB \\ CFA \\ CEA \\ AEB \\ CDB \\ BDA \\ FHD \\ FHE \\ DJE \\ DJF \\ EID \\ EIF \end{gathered}`

There are 12 right triangles in the diagram.