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30-10-2022
Mathematics

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

Given the equilateral triangle ABC AE BD amp CF are altitude intersecting at point G How many right triangles are in the diagram class=

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AvereyN760634 AvereyN760634

30-10-2022

Solution

Given the equilateral triangle ABC;

The following are the numbers of right triangles:

[tex]\begin{gathered} CFB \\ CFA \\ CEA \\ AEB \\ CDB \\ BDA \\ FHD \\ FHE \\ DJE \\ DJF \\ EID \\ EIF \end{gathered}[/tex]

There are 12 right triangles in the diagram.

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