Let us learn how to construct a triangle if \(3\) sides are known. To construct a triangle, first we shall draw a rough diagram which gives an idea where the sides would be. Let us consider an example.
Construct a triangle \(PQR\) whose sides are \(PQ = 3 \ cm\), \(QR = 8 \ cm\) and \(PR = 6 \ cm\).
Step 1: First, we shall draw the rough figure of the triangle \(PQR\) with the given measure.
Step 2: Draw a line segment \(QR\) of length \(8 \ cm\).
Step 3: With \(Q\) as centre, draw an arc of radius \(3 \ cm\).
Step 4: Similarly, with \(R\) as centre, draw an arc of radius \(6 \ cm\) which cuts the previous arc at \(P\).
Step 5: Join \(PQ\) and \(PR\).
Therefore, \(PQR\) is the required triangle.