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ICSE Class X Math 2016 Paper

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Use ruler and compasses only for the following question. All construction lines and arcs must be clearly shown.
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Question : 52 of 57
Marks: +1, -0
Construct a △ABC\triangle A B C in which BC=6.5B C = 6.5 cm,∠ABC=60∘,AB=5cm\text{cm}, \angle A B C = 60^{\circ}, A B = 5 \text{cm} .
Solution:  
Steps of construction :
1. Draw a line BC=6.5cmBC = 6.5 \text{cm}.
2. At B, make a angle of 60∘60^{\circ} with BC.
3. Taking BB as centre, cut an arc of 5 cm\text{cm} i.e. point A.
4. Join AC.
Thus ABCABC is a required triangle.
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