Question

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

Answer 1

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