Construct a quadrilateral PQRS in which RS= 6cm, QR= 5cm, PQ=5cm, Angle Q=135 degree, Angle R= 90 degree. Measure PS.

Asked by Shawn | 14th Nov, 2015, 07:47: PM

Expert Answer:

 
Steps of construction:
1. Draw a segment QR = 5 cm.
2. From point R draw a ray RT such that angle TRQ = 90°.
3. With R as the centre, and radius = 6 cm, cut an arc at point S on ray RT.
4. From point Q draw a ray QV such that angle VQR = 135°.
5. With Q as the centre, and radius = 5 cm, cut an arc at point P on ray QV.
6. Join P and S.
PQRS is the required quadrlateral.
 
Measure of PS = 5.5 cm
 

Answered by Kajal Gupta | 16th Nov, 2015, 11:28: AM