Q. 14.3( 35 Votes )
Construct Δ XYZ, in which YZ= 7.4cm, ∠XYZ = 45° and XY-XZ= 2.7cm
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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