Page 1 - LN Two diagonals and three sides GIVEN
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SAI International School
                                                      CLASS - VIII


               Mathematics
               CHAPTER- 4: PRACTICAL GEOMETRY


               SUBTOPIC : TWO DIAGONALS AND THREE SIDES GIVEN

               Lesson Note:


               A quadrilateral can be constructed uniquely if its two diagonals and three sides are
               known.













                       Construct the following quadrilateral


                       Quadrilateral GOLD

                       OL = 7.5 cm, GL = 6 cm, GD = 6 cm, LD = 5 cm, OD = 10 cm


                       (ii) Given: OL = 7.5 cm, GL = 6 cm, GD = 6 cm, LD = 5 cm, OD = 10 cm

                       To construct: A quadrilateral GOLD


                       Steps of construction:

                       (a) Draw a line segment OL = 7.5 cm.


                       (b) Draw an arc of radius 5 cm taking L as centre and another arc of radius 10cm
                       taking O as centre which intersect the first arc at point D.


                       (c) Join LD and OD.


                       (d) Draw an arc of radius 6 cm from D and draw another arc of radius 6 cm taking
                       L as centre, which intersects at G.
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