Question

Construct a quadrilateral $ABCD$ with $AB=9cm$, $BC=6cm$, $CD=7cm$, $AC=9cm$ and $BD=11cm$.

Answer 1

1. Draw a line segment BC $=6cm$ .

2. Open compass of length $7$ cm and mark curve from point C.

3. Open compass of length $11cm$ and mark curve from point B.

4. These curve cut each other at point D.

5. Join B to D and C to D

6. Open compass of length $9cm$ and mark curve from point C.

7. Open compass of length $9cm$ and mark curve from point B.

8. These curve cut each other at point A

9. Join A to B and A to D

Hence ABCD is the required quadrilateral.