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Construct a Quadrilateral Abcd in Which Ab = 7.2cm, Bc = 5.8cm, Cd = 6.3cm, Ad = 4.3cm and ∠A = 75° - Mathematics

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Question

Construct a quadrilateral ABCD in which
AB = 7.2cm, BC = 5.8cm, CD = 6.3cm, AD = 4.3cm and ∠A = 75° 

Sum

Solution

AB = 7.2cm, BC = 5.8cm, CD = 6.3cm, AD = 4.3cm and ∠A = 75° 

Steps of Construction:
1) Draw a line segment AB = 7.2cm
2) With A as centre draw rays X and Y to make angle 90° and 60° with AB. Then bisect the angle between them to make an angle of 75° with AB.
3) With A as centre and radius 4.3cm cut an arc on line segment making 75° angles wit hAB and mark it as D.
4) With D and B as centres and radii of 6.3 and 5.8cm respectively, draw arcs cutting each other at C.
5) Join DC and BC.
6) ABCD is the required quadrilateral.

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Constructing a Quadrilateral
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Chapter 20: Constructions of Quadrilaterals - Exercise 20.1

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 20 Constructions of Quadrilaterals
Exercise 20.1 | Q 1.2
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