Question
Construct a right triangle having hypotenuse of length $5.6\ cm$ and one of whose acute angles measures $30^\circ .$
✓
Answer
Here, $\angle\text{A}=30^\circ$ and $\angle\text{C}=90^\circ$ By angle sum property: $\angle\text{B}=60^\circ$
Steps for construction:
Step I: Draw the hypotenuse $AB$ of length $5.6\ cm.$
Step II: Draw $\angle\text{BAX}=30^\circ$ and $\angle\text{ABY}=60^\circ$
Step III: The ray $AX$ and $BY$ intersect at $C.$ Then, $ABC$ is the required triangle.
Steps for construction:
Step I: Draw the hypotenuse $AB$ of length $5.6\ cm.$
Step II: Draw $\angle\text{BAX}=30^\circ$ and $\angle\text{ABY}=60^\circ$
Step III: The ray $AX$ and $BY$ intersect at $C.$ Then, $ABC$ is the required triangle.
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