Construct a quadrilateral PQRS in which PQ=6cm, QR=5.6cm, RS=2.7cm, ∠ Q = 45 ° and ∠ R = 90 ° .

Question

Philoid · Accepted Answer

The given quadrilateral PQRS can be drawn as follows:

Step 1: Draw a line segment QR = 5.6 cm

Step 2: At Q, draw ∠RQX = 45°.

Step 3: Cut PQ = 6 cm on ray QX

Step 4: At R, draw ∠QRY = 90°.

Step 5: Cut RS = 2.7 cm on ray RY

Step 6: Now, join S to P.

Step 7: PQRS is the required quadrilateral.