Construct a triangle XYZ in which _Y = 30°, ZZ = 90° and XY+YX + ZX
= 11cm. Write steps of construction also.
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Draw a line segment BC = XY + YZ + ZX (= 11 cm).
Make ∠LBC = ∠Y (= 30°) and ∠MCB = ∠Z (= 90°).
Bisect ∠LBC and ∠MCB. Let these bisectors meet at a point X.
Draw perpendicular bisectors DE of XB and FG of XC.
Let DE intersect BC at Y and FG intersect BC at Z.
Join XY and XZ.
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