Question
Draw $\triangle\text{ABC}$ in which AC = 6cm, $\angle\text{A}=90^\circ$ and $\angle\text{B}=60^\circ.$

Answer


Steps of construction:
Step I: Draw a line segment AC = 6cm.
Step II: Draw $\angle\text{ACX}=30^\circ.$
Step III: Draw $\angle\text{CAY}$ with Y on the same side of AC as X such that $\angle\text{CAY}=90^\circ.$
Step IV: Join CX and AY. Let these intersect at B.
Step V: ABC is the required triangle where angle $\angle\text{ABC}=60^\circ.$

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