Question

Construct a triangle $PQR$ in which $QR=6cm,\angle Q={60}^{o}andPR-PQ=2cm$.

Answer 1

Steps :

1)Draw a ray QX and cut off a line segment QR =6cm from it.

2))Construct a ray QY making an angle of 60 degree with QR and produce YQ To form a line YQY.

3)Cut off a line segment QS=2cm from QY.

4)Join RS

5(Draw perpendicular bisectors of Rs intersecting QY at a point P.

6)Join PR ..

Then, PQR is the required triangle.