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ICSE Class 9 Answered

Prove that bisector of interior angle of a rectangle form a square
Asked by sanjeevsahu37 | 18 Aug, 2019, 07:01: PM
answered-by-expert Expert Answer
ABCD is a Rectangle.
begin mathsize 16px style angle end styleBAW = 900 ÷ 2 = 450 
begin mathsize 16px style angle end styleABW = 900 ÷ 2 = 450 
In ΔAWB,
begin mathsize 16px style angle end styleAWB = 1800 - (450 + 450 ) = 900
begin mathsize 16px style angle end styleXWZ =begin mathsize 16px style angle end styleAWB =  900   .... Vertically opposite angle
Similarly we can prove that begin mathsize 16px style angle end styleWXY, begin mathsize 16px style angle end styleXYZ and begin mathsize 16px style angle end styleWZY = 900 
Quadrilateral WXYZ is a Square.            ..... since all the angle of WXYZ is 900 
 
Hence proved
Answered by Yasmeen Khan | 21 Aug, 2019, 02:10: PM

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