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Dissecting Triangles

Dissecting Triangles 1.1 - Solution

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In the diagram, we can see that is the midpoint of and that is the perpendicular to through Therefore, is the perpendicular bisector of

According to the Perpendicular Bisector Theorem, in a plane, if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. In our case, is the point on the perpendicular bisector and and are the endpoints. Therefore, according to the theorem, Let's see this on the diagram.