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Dissecting Triangles

Dissecting Triangles 1.2 - Solution

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According to the converse of the Perpendicular Bisector Theorem, if a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment.

In the diagram, is equidistant from the endpoints of This and the fact that and are perpendicular, mean that is the perpendicular bisector of Therefore, we can say that With this, we can write an equation to find Let's subtract on both sides to find the value of
Finally, to find the value of we will substitute for in the expression