. find the measures of the angles of the triangle formed by joining the mid points of the sides of triangles
In a triangle ÐABC, ÐA = 50°, ÐB = 60° and ÐC = 70°
Best Answer
Sol: D, E, F are mid points of AB, BC, CA of DABC
DF II BC, DE II AC, EF II AB [mid point theorem]
or DFEB is a IIgm
DFE = ÐB = 60º
Similarly DFCE is a IIgm Þ ÐEDF = ÐC = 70º
Similarly ADEF is a IIgm Þ ÐDEF = ÐA = 50º
Opposite angles of a IIgm are equal.
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