Question

construct a quadrilateral of A B C D in which AB= 4cm BC= 3cm CD=3.5cm and diagonals are AB=6 cm BD = 5.5 cm​

Answer 1

Given: AB = 4 cm, BC = 6 cm, CD = 5.6 cm, DA = 5 cm and AC = 8 cm.

To construct a quadrilateral

Steps for construction

Step 1 : Draw a rough figure and mark the given measurements.

Step 2 : Draw a line segment AB = 4 cm.

Step 3 : With A and B as centres draw arcs of radii 8 cm and 6 cm respectively and let them cut at C.

Step 4 : Join AC and BC

Step 5 : With A and C as centres draw arcs of radii 5 cm, and 5.6 cm respectively and let them cut at D.

Step 6 : Join AD and CD

. ABCD is the required quadrilateral.

Step 7 : From B draw BE ⊥ AC and from D draw DF ⊥ AC, then measure the lengths of BE and DF. BE = h

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