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Use Ruler and Compasses Only for the Following Questions. All Constructions Lines and Arcs Must Be Clearly Shown Construct a  Abc in Which Bc = 6.5 Cm,  Abc = 60o, Ab = 5 Cm. - Mathematics

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Question

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown

Construct a  ABC in which BC = 6.5 cm,  ABC = 60°, AB = 5 cm.

Solution

Steps of construction:

1) Draw BC = 6.5 cm using a ruler.

2) With B as the centre and radius equal to approximately half of BC, draw an arc that cuts the segment BC at Q.

3) With Q as the centre and same radius, cut the previous arc at P.

4) Join BP and extend it

5) With B as the centre and radius 5 cm, draw an arc that cuts the arm PB to obtain point A.

6) Join AC to obtain ΔABC.

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2015-2016 (March)

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