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Construct a Rhombus Abcd, Given Ab = 3.8cm and ∠A = 60°. Measure Ac. - Mathematics

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Question

Construct a rhombus ABCD, given AB = 3.8cm and ∠A = 60°. Measure AC.

Sum

Solution


In rhombus length of all the sides is equal.
Steps of Construction:
1) Draw a line segment AB = 7.8cm.
2) At A, draw a ray making an angle of 60° with AB.
3) With A as centre and radius 3.8cm cut an arc on the ray making an angle of 60° with Ab. Mark the point as D.
4) With B and D as centres and radii 3.8cm mark two arcs cutting each other at point C.
5) Join DC and BC.
6) ABCD is the required rhombus.
7) On measuring AC = 6.5cm.

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Construction of Rhombus
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Chapter 20: Constructions of Quadrilaterals - Exercise 20.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 20 Constructions of Quadrilaterals
Exercise 20.1 | Q 6
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