Question

Constract the trapezium PQRS is which PQ is parallel to RS,
PQ=7.5cm, QR=4cm, RS=3cm, SP=3.5cm.
Measure angle QPS.

Answer 1

in this figure angle QPS is equal to 60 degree

Answer 2

Construction of trapezium PQRS.

Step-by-step explanation:

1. Given data

  PQ = 7.5 cm

  QR= 4 cm

  RS = 3 cm

  SP = 3.5 cm

2. For any construction of any quadrilateral, we required at least four data.

3. As above question, here only four data is given.

4. So construction of this trapezium is not possible.

5. Or we can say that its construction is not unique.

6. If we make trapezium which perpendicular height between greater than zero and less 3.5 cm, we got infinite number of trapezium PQRS.

7. So we say that construction of PQRS is not unique.