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 Challenge
 Right Triangle:  A triangle with exactly one right angle.

Classified Information: Investigate combining triangle classifications based on length and angle measure.

Altitude to the Hypotenuse: Find as many as possible proportions that exist in a given situation.

Optimizing Triangles Using Radii: Find the triangles with maximum and minimum area that contain two sides determined by radii of the circle.

Tiling: Tile a kitchen with triangular tiles.

Half as Much May be Right: Explore triangles inscribed in semicircles.