Construct the following and give justification :

A right triangle when one side is 3.5 cm and the sum of other sides and the hypotenuse is 5.5 cm.      

Answers (1)

Given : Side = 3.5 cm, sum of other side and hypotenuse = 5.5 cm

            

            Steps Construction :

  1. Draw line BC = 3.5 cm
  2. Draw line BE with 90^{\circ} angle at B.

       3. Cut BE by 5.5 cm radius arc at D.

       4. Join DC

       5. Bisect DC which intersects BD at point A

       6. Join AC

            ABC is the required triangle.                         

           

            Justification :

            In DBDC and DABC

            AD = AC

            Sum of AB + AC = 5.5

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