Question
Construct $\triangle\text{ABC}$ in which $AB = 6.4\ cm$, $\angle\text{A}=45^\circ$ and $\angle\text{B}=60^\circ.$

Answer


Steps of construction:
Step I: Draw a line segment $AB = 6.4\ cm$.
Step II: Draw $\angle\text{BAX}=45^\circ.$
Step III: Draw $\angle\text{ABY}$ with $Y$ on the same side of $AB$ as $X$ such that $\angle\text{ABY}=60^\circ.$
Step IV: Let $AX$ and $BY$ intersect at $C$.
Step V: $ABC$ is the required triangle.

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