Q. 14.3( 35 Votes )

Construct Δ XYZ, in which YZ= 7.4cm, XYZ = 45° and XY-XZ= 2.7cm

Answer :

Given: Base YZ= 7.4cm, XY-XZ= 2.7cm and

Y = 45° of Δ XYZ.


Required: To construct a triangle XYZ.


Steps of construction:


i: Draw a segment YZ of length 7.4cm.



ii: Draw ray YL such that Y = 45°



iii: Mark an arc on ray YL cutting at D such that YD = 2.7cm.



iv: Draw segment ZD.



v: Construct the perpendicular bisector of segment ZD.



vi: Name the point of intersection of ray YL and the perpendicular bisector of ZD as X.



vii: Draw segment XZ.



ΔXYZ is the required triangle.


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