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Question
no matter what kind of polygon you have, the triangles made by drawing all the radii are always: equilateral isosceles scalene
Step1: Recall the property of radii in a polygon
In a polygon (assuming a regular polygon here as the context is about radii - for a regular polygon, all radii (distance from center to vertices) are equal.
Step2: Analyze triangle types based on side - equality
For a triangle formed by two radii and a side of the polygon:
Since two sides (the radii) are equal in length.
By the definition of an isosceles triangle (a triangle with at least two equal sides), the triangles made by drawing all the radii of a polygon (regular polygon) are isosceles.
An equilateral triangle requires all three sides to be equal. This is only the case when the polygon is a regular hexagon (in some cases related to radii - side length equal to radius for a regular hexagon). But for a general polygon (even a regular one), the side of the polygon is not necessarily equal to the radius. A scalene triangle has all sides of different lengths, which is not the case here as two sides (radii) are equal. A right - triangle has one right - angle, which is not a general property of triangles formed by radii of a polygon.
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isosceles