how can we construct a quadrilateral when four sides and 1 diagonal are given/?

Answer :


Let we have length of sides of quadrilateral  =  5 , cm 6 cm 4 cm and 7 cm and diagonal  =   8  cm ,So we construct this quadrilateral , As  :

Step 1 : Draw a line AC  =   8  cm (  length of diagonal )

Step 2 :  Take radius of 5 cm and center "  A " draw an arc and take radius 6 cm and center " C " draw an arc on same side that arc cut previous arc at  "  B " .

Step 3 : Take radius of 4 cm and center "  A " draw an arc on other side and take radius 7 cm and center " C " draw an arc on same side that arc cut previous arc at  " D " .

Step 4 :  Join AB  , BC , CD and DA , We get quadrilateral ABCD


 

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