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Construct a Quadrilateral Abcd, When: Bc = 7.5 Cm Ac = 5.8 Cm, Ad = 3.6 Cm, Cd = 4.2 Cm and Angle a = 120°. - Mathematics

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Question

Construct a quadrilateral ABCD, when:
BC = 7.5 cm AC = 5.8 cm, AD = 3.6 cm, CD = 4.2 cm and angle A = 120°.

Sum

Solution

Steps:
1. Draw AD = 3.6 cm
2. draw AP such that ∠A = 120°.
3. With A and D as a center and radii 5.8 cm and 4.2 cm draw arcs cutting each other at C.
4. Now join AC and CD.
5. Now with C as center and radii 7.5 cm draw an arc at B on AP.
6. Now join CB.

ABCD is the required quadrilateral.

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Constructing a Quadrilateral
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Chapter 15: Construction of Polygons (Using ruler and compass only) - Exercise 15 [Page 190]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 15 Construction of Polygons (Using ruler and compass only)
Exercise 15 | Q 5 | Page 190
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