Mathematics
Construct a quadrilateral ABCD in which AB = 4.5 cm, BC = 5.2 cm, CD = 5 cm, DA = 4.7 cm and ∠ABC = 75°.
Answer
Steps of constructions:
Draw AB = 4.5 cm.
Draw ∠ABX = 75°.
With B as centre and radius = 5.2 cm, draw an arc, cutting BX at C.
With A as centre and radius = 4.7 cm, draw an arc.
With C as centre and radius = 5 cm, draw another arc, cutting the previous arc at D.
Join DC and DA.
Hence, ABCD is the required quadrilateral.
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