Construct $\Delta ABC$ in the space provided below, where $AB=8$ cm, $AC=7$ cm and \(\ang

Question

Construct $\Delta ABC$ in the space provided below, where $AB=8$ cm, $AC=7$ cm and $\angle CAB=60{}^\circ $. Label the vertices of your triangle clearly. Measure and write down the length of $BC$, giving your answer to $1$ decimal place. Construct the angle bisector of $\angle BCA$, the perpendicular bisector of $BC$. Point $P$ is a point inside the triangle such that $BP < CP$ and $P$ is located nearer to $BC$ than to $AC$. Shade the region where $P$ could possibly be located.

Accepted Answer

(a) Constructed triangle. (b) $BC\approx7.5\text{ cm}$. (c) Angle bisector of $\angle BCA$ and perpendicular bisector of $BC$ constructed. (d) Shade the intersection on the $B$-side of both boundaries.

Triangle Construction and Loci

Triangle Construction and Loci

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