Elementary plane geometry : inductive and deductive / by Alfred Baker . triangle upon the other so that the correspondingangular points coincide. From this superposition whatconclusion do you draw as to the areas of the triangles ? Repeat the same construction, measurement, andsuperposition wdth two triangles whose sides are 4, 2and 4^ inches; with two Avhose sides aie 50, 80 and100 millimetres; etc. 22 Equality of Triangles. 23 The result of our observations in these cases is thatif two triangles have their sides equal, theangles which are opposite to equal sides areequal, and the areas are e
Elementary plane geometry : inductive and deductive / by Alfred Baker . triangle upon the other so that the correspondingangular points coincide. From this superposition whatconclusion do you draw as to the areas of the triangles ? Repeat the same construction, measurement, andsuperposition wdth two triangles whose sides are 4, 2and 4^ inches; with two Avhose sides aie 50, 80 and100 millimetres; etc. 22 Equality of Triangles. 23 The result of our observations in these cases is thatif two triangles have their sides equal, theangles which are opposite to equal sides areequal, and the areas are equal. In other wordstwo such triangles are the same triangle in differentpositions. Another way of stating the fact is to say that ifthe sides of a triangle are fixed, the angles are fixed,and the area is fixed. 2. Construct two angles, BAG and EDF, each of 30°.On sides of these angles measure off distances AB andDE, each of length 40 millimetres; and also distancesAC and DF, each of length 51 millimetres. Join BCand EF, thus forming two triangles, ABC and DEF. A D.
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