<p>In the triangle $ABC$, $AB=10$ cm, $BC=8$ cm and $\angle BAC=50{}^\circ $. </p>
<ol class="abc-list"><li><div class="list-item-paragraph">Complete two possible triangles $ABC$ that are of different sizes.</div></li><li><div class="list-item-paragraph">Construct</div><ol class="i-list"><li><div class="list-item-paragraph">the perpendicular bisector of $AB$,</div></li><li><div class="list-item-paragraph">the angle bisector of $\angle BAC$.</div></li></ol></li><li><div class="list-item-paragraph">Mark, with an $X$, the point that is equidistant from the points $A$ and $B$, and equidistant from the line $AC$ and $AB$.</div></li><li><div class="list-item-paragraph">Hence, measure the length of $BX$.</div></li></ol>

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.

Mark, with an $X$, the point that is equidistant from the points $A$ and $B$, and equidistant from the line $AC$ and $AB$.

Construction: Two Possible Triangles and a Point Defined by Loci

Construction: Two Possible Triangles and a Point Defined by Loci

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