Construction of a Quadrilateral When Four Sides and One Diagonal Are Given
Construct qua...
Question
Construct quadrilaterals to the given measurements; the order of the letters in each case is A, B, C, D. AB = 4.8 cm, BC = 4.4 cm, CD = 7 cm,DA = 3.4 cm, BD = 6.2 cm.
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Solution
Steps of construction
Draw AB=4.8 cm.
With A as centre and 3.4 cm radius draw an arc.
With B as centre and 6.2 cm as radius drawn an arc to intersect the first at D.
Join AD and BD.
With B as centre and 4.4 cm as radius drawn an arc.
With D as centre and 7 cm as radius draw an arc to intersect the above at C.
Join DC and BC.
Hence, ABCD is the required quadrilateral in the above drawn figure.