Q. 13.8( 19 Votes )

Construct ΔXYZ, such that XY+XZ= 10.3cm, YZ=4.9cm, XYZ = 45°

Answer :

Given: base YZ= 6cm, XY+XZ= 9cm and Y = 50°

of ΔXYZ.


Required: To construct a ΔXYZ


Steps of construction:


i: Draw a segment YZ of length of 4.9cm.



ii: At vertex Y, construct Y = 45° and produce a ray YA.



iii: Mark an arc on ray YA cutting at D such that YD = 9cm.



iv: Draw segment ZD.



v: Construct the perpendicular bisector of segment ZD.



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



vii: Draw segment XZ.



ΔXYZ is the required triangle.


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