Draw $\Delta ABC$ such that $AB=10$ cm, $\angle ABC=55{}^\circ $ and \(\angle CAB=80{}^\c

Question

Draw $\Delta ABC$ such that $AB=10$ cm, $\angle ABC=55{}^\circ $ and $\angle CAB=80{}^\circ $. Measure and write down the length of $AC$. Construct and label the perpendicular bisector of $AC$ as ${{l}_{1}}$. Construct and label the angle bisector of $\angle CAB$ as ${{l}_{2}}$. Measure and write down the length of $AP$, such that $P$ is the point where the perpendicular bisector of $AC$ cuts $BC$.

Accepted Answer

(a) $AC\approx11.6\text{ cm}$. (d) $AP\approx8.2\text{ cm}$, subject to construction tolerance.

Construction of a Triangle with 1 given side and 2 given angles

Construction of a Triangle with 1 given side and 2 given angles

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