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Construct 30° from A and 90° from B

Construct angle bisectors for both the angles

They will meet at X

Draw perpendicular line bisector for AX and BX .

The both lines will meet AB at X and Y

Join XY and XZ

XYZ is our required triangle.

Step 2: An angle, ∠A= 30° is constructed at point A and an angle ∠B = 90° at point B.

Step 3: ∠A and ∠B are bisected . The bisectors of these angles intersect each other at point X.

Step 4: Perpendicular bisectors TS of AX and ZU of BX are constructed.

Step V: Let TS intersect ABat Y and ZU intersect AB at Z. XY and XZ are joined.

Thus, ΔXYZ is the required triangle.