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Question -

Draw a ΔABC in which base BC = 6 cm, AB = 5 cm and ∠ABC = 60°. Then construct another triangle whose sides are 3/4 of the corresponding sides of ΔABC.    [CBSE 2017]



Answer -

Steps of construction:

1.   Draw a triangle ABCwith side BC = 6 cm, AB = 5 cm and ABC = 60°.

2.    Draw a ray BX,which makes an acute angle CBXbelow the line BC.

3.   Locate four points B1,B2, B3and Bon BX such that BB1 =B1B2=B2B3 = B3B4.

4.   Join B4Cand draw a line through B3 parallel to B4C intersectingBC to C’.

5.   Draw a line through C’parallel to the line CA to intersect BA at A’.

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