Question

Draw a quadrilateral PQRS such that PQ=8cm, QR = 4.5cm, RS = 5cm, PS 5cm, PS = 6cm, QS = 7.5cm. Then construct a triangle with equal area of this quadrilateral​

Answer 1

Answer:

The given Quadrilateral PQRS can be drawn by following the steps.

Step 1: Draw a line QR=7.5cm

Step 2: Draw an arc of 10cm from Q

Step 3: From R with 5cm as radius cut the arc drawn in step 2 and that point of intersection is S.

Step 4: Draw another arc from R with 6cm of radius

Step 5: From S take 6cm as radius and cut the arc drawn in step 4 and the point of intersection is P. now join PR and PS.

We get the required quadrilateral PQRS

Answer 2

Draw a line segment PR=7 cm.

2. With 4 cm as radius, draw an arc from P.

3. Similarly, with radius as 6 cm from R, cut the arc just drawn.

4. They will intersect at Q. Join PQ and QR.

5. With 5.5 cm as radius, draw an arc from P. Similarly, with radius as 5 cm from R, cut the arc just drawn.

6. They will intersect at S. Join PS and RS.

7. PQRS is the required quadrilateral.