Construct a quadrilateral PQKS such that|PQ|=5cm |SR|=3cm |QR|=6cm QR/RS and |PR|=9cm.
Not sure what QR/RS has to do with things, but if you get out your compass and ruler, this can't be all that hard.
No answer
To construct the quadrilateral PQKS, we need to follow these steps:
1. Start by drawing a line segment PQ of length 5 cm.
2. From point P, mark a point R at a distance of 9 cm along the line segment PR.
3. Draw a line from point R perpendicular to line segment PQ. This can be done by extending the compass to a radius greater than half the length of PQ, and drawing arcs on either side of point R. The intersection of these arcs will be the point S.
4. Next, draw a line segment QR of length 6 cm.
5. Finally, join points S and K to complete the quadrilateral PQKS.
Note: The construction assumes that the given lengths are accurate and valid according to the problem statement.