1. Bisectors of Triangles
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Using the Incenter Theorem, find the lengths of the legs in triangle △JQP.
JQ≈18.8
In this exercise we are asked to find the measure of JQ. Let's find this segment on the given diagram.
From the diagram we can see that QK, QM, and QP are perpendicular to the sides of the triangle. This means that these segments are the distances from Q to the sides of △JLN. Also, we are told that Q is the incenter of △JLN. Thus, we can use the Incenter Theorem.
The angle bisectors of a triangle intersect at a point called the incenter that is equidistant from the sides of the triangle. |
JP=16.5, QP=9
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