Mathematics
Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm, CD = 6 cm, ∠BAD = 90° and diagonal BD = 5.5 cm.
Rectilinear Figures
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Answer
Steps of construction :
Draw a line segment AB = 5 cm.
Draw AX ⊥ AB.
With B as center and radius equal to 5.5 cm draw an arc cutting AX at D. Join BD.
With D and B as center and radii equal to 6 cm and 2.5 cm respectively draw arcs cutting each other at C.
Join DC and BC.
Hence, ABCD is the required quadrilateral.
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