Construct a rectangle PQRS such that PR=5.2 cm and the angle between the diagonals is `50^(@)`.

Explanation

Steps:
1. Draw a line segment PR=5.2 cm.
2. Mark the mid-point of PR as O.
3. Draw `bar(XY)` which makes an angle of `50^(@)` with `bar(PR)` at the point O.
4. With O as the centre and with radius equal to `(1)/(2)(PR)=2.6 cm, ` cut `vec(OX) and vec(OY)` at S and Q, respectively.
5. Join PQ, QR, ,RS, and PS to form the required rectangle PQRS.