Two acute angles and a segment are given. Construct a triangle whose side is half of the given line segment

| August 10, 2021 | education

Two acute angles and a segment are given. Construct a triangle whose side is half of the given line segment, and the corners adjacent to it are equal to two given corners.

To start constructing a triangle from such data, we define its side equal to half of this segment AB. Using the compass marks equal to this segment, mark points C1 and C2. Connecting these points, draw a straight line C1C2, the intersection with the segment AB will give so O, AO = OВ.AO = 1/2 AB.

Now we build a triangle along the side PQ equal to AB = AO, and given angles <h and <n.

First, we postpone the segment AB, equal to the previously found AO. From the point A we build the angle <h using a compass (the method of construction is described). And from the point B we build the angle <n, the intersection of the rays of the angles will give the point C of the triangle.



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