how to construct quadrilateral when 4 sides and 1 angle is given
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Step-by-step explanation:
1. Construct quadrilaterals when four sides and one diagonal is given.
Construct a quadrilateral PQRS where PQ = 4 cm, Oq = 6 cm, RS = 5 cm, PS = 5.5 cm and PR= 7 cm
Quadrilaterals
Draw Δ PQR using SSS construction condition.
With P as the centre, draw an arc of radius 5.5 cm.
With R as the centre, draw an arc of radius 5 cm.
S is the point of intersection of the two arcs. Also, mark S and complete PQRS.
PQRS is the required quadrilateral.
Browse more Topics under Practical Geometry
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2. Construct quadrilaterals when four sides and one diagonal is given.
Construct a quadrilateral ABCD where BC = 4.5 cm, AD = 5.5 cm, CD = 5cm and the diagonal AC = 5.5 cm, diagonal BD = 7 cm
Quadrilaterals
Draw ΔACD using SSS construction condition
Taking D as the centre, draw an arc of radius 7 cm.
Now let C be the centre, draw an arc of radius 4.5 cm
Since B lies on both the arcs, B is the point intersection of the two arcs.
Mark B and complete ABCD.
ABCD is the required quadrilateral
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