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 $AC = 6\ cm.$
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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