Q. 33.9( 30 Votes )

Construct ∆XYZ in which Y = 30°, Z = 60° and XY + YZ + ZX = 10 cm.

Answer :

Given: Y = 30°, Z = 60° and perimeter of ΔXYZ = 10 cm

Steps of construction:


Step 1: Step 1: raw a line segment QR of 10.5cm.



Step 2: From point Q draw a ray QD at 30° and from R draw a ray RE at 60°.



Step 3: Draw an angle bisector of Q and R, two angle bisectors intersect each other at point X.



Step 4: Draw a line bisector of QX and XR respectively these two-line bisectors intersect at point Y and Z



Step 5: Join XY AND XZ.



Step 6: Δ XYZ is required triangle.



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