Question

Construct a $△ABC$, when:

$AB=6.0cm,AC=8.0cm$ and $BC=7.5cm.$

Answer 1

To construct a triangle with three given sides,
1. First draw the base , say $AB=6cm$
2. Set the width of the compass as the second side $AC=8.0cm$ and draw an arc from $A$ on any one side of the line segment $AB$
3. Similarly, set the width of the compass as the third side $BC=7.5cm$ and draw an arc from $B$ on the same side of the line segment $AB$ as done in Step 2
4. Mark the intersection of the two arcs as $C$
5. Join points $A,C$ and $B,C$ using a ruler.
6. $ABC$ is a required triangle.