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draw a rough sketch of a triangle ABC. mark a point P in it's interior and a point Q in it's exterior. Is the point A in it's exterior or in it's interior?

User Levelnis
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Final answer:

Point A is neither in the interior nor the exterior of Triangle Geometry ABC, but is a vertex of the triangle. The interior of a triangle is the area within its sides, while the exterior is everything outside of it. Hence, the vertices, where the sides meet, are neither inside nor outside.

Step-by-step explanation:

The main answer to your question is that point A would be in neither the exterior nor the interior of triangle ABC. This is because point A is a vertex, or corner, of the triangle. Triangles are three-sided polygons, and their vertices are the points where the sides meet. The interior of the triangle is the area contained within its sides, and the exterior is everything outside of it.

To visualize, draw a rough picture of triangle ABC and indicate point A. Then mark point P within the boundaries of triangle ABC (its interior) and point Q outside of those boundaries (its exterior). Here, you should see that point A is not within the area formed by the triangle (the interior) nor is it outside the boundary (the exterior). Instead, it forms a corner of the triangle.

Learn more about Triangle Geometry

User Lorenzog
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