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Construct a Quadrilateral Abcd Such that Ab = Bc = 5.5 Cm, Cd = 4 Cm, Da = 6.3 Cm and Ac = 9.4 Cm. Measure Bd. - Mathematics

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ConceptConstructing a Quadrilateral When Two Diagonals and Three Sides Are Given

Question

Construct a quadrilateral ABCD such that AB = BC = 5.5 cm, CD = 4 cm, DA = 6.3 cm and AC = 9.4 cm. Measure BD.

Solution

\[\text { Steps of construction: } \]

\[\text { Step I: Draw AB = 5 . 5 cm }\]

\[\text { Step II: With B as the centre and radius BC = 5 . 5 cm, draw an arc }. \]

\[\text { Step III: With A as the centre and radius AC = 9 . 4 cm, draw an arc to intersect the arc drawn in Step II at C }. \]

\[\text { Step IV: With C as the centre and radius CD = 4 cm, draw an arc } . \]

\[\text { Step V: With A as the centre and radius AD = 6 . 3 cm, draw an arc to intersect the arc drawn in Step IV at D } . \]

\[\text { Step VI: Join DA, BC, AC and CD} . \]

\[\text { The quadrilateral ABCD so obtained is the required quadrilateral } .\]

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 18: Practical Geometry (Constructions)
Ex. 18.1 | Q: 2 | Page no. 4
Solution Construct a Quadrilateral Abcd Such that Ab = Bc = 5.5 Cm, Cd = 4 Cm, Da = 6.3 Cm and Ac = 9.4 Cm. Measure Bd. Concept: Constructing a Quadrilateral - When Two Diagonals and Three Sides Are Given.
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