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.
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.
Related Questions
Using ruler and compasses only, construct the quadrilateral ABCD, having given AB = 5 cm, BC = 2.5 cm, CD = 6 cm, angle BAD = 90° and the diagonal AC = 5.5 cm.
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