Question

Construct an isosceles $△ABC$ when base $BC=5.4cm$ and side $AB=6.8cm$

Answer 1

Since the triangle is isosceles, then the third side $AC=AB=6.8cm$
To construct a triangle with these three given sides,
1. First draw the base, say $BC=5.4cm$
2. Set the width of the compass as one side $AB=6.8cm$ and draw an arc from $B$ on any one side of the line segment $BC$
3. Similarly, set the width of the compass as the other side $AC=6.8cm$ and draw an arc from $C$ on the same side of the line segment $BC$ as done in Step 2
4. Mark the intersection of the two arcs as $A$
5. Join points $A,B$ and $A,C$ using a ruler.
6. $ABC$ is the required triangle.