IN a triangle ABC find the measures of the angles formed by joining the midpointsof the sides of this triangle

Asked by Tejas Kulkarni | 28th Oct, 2013, 09:03: PM

Expert Answer:



In the figure, there is a triangle ABC. 
D, E and F are the mid-points of AB. BC and CA respectively. 
The mid-points are joined together and a different triangle namely DEF is formed. 
 
DE is parallel to the side BC of the triangle. 
From the Basic Proportionality Theorem (or B.P.T.), AD / AB = AE / EC
Hence:
 

Answered by  | 29th Oct, 2013, 10:42: AM

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