In the triangle $ABC$, $AB=10$ cm, $BC=8$ cm and $\angle BAC=50{}^\circ $. Complete two poss

Question

In the triangle $ABC$, $AB=10$ cm, $BC=8$ cm and $\angle BAC=50{}^\circ $. Complete two possible triangles $ABC$ that are of different sizes. Construct the perpendicular bisector of $AB$, the angle bisector of $\angle BAC$. Mark, with an $X$, the point that is equidistant from the points $A$ and $B$, and equidistant from the line $AC$ and $AB$. Hence, measure the length of $BX$.

Accepted Answer

(d) $BX\approx5.5\text{ cm}$, subject to construction tolerance.

Construction: Two Possible Triangles and a Point Defined by Loci

Construction: Two Possible Triangles and a Point Defined by Loci

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