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Question

Construct a triangle of sides 4 cm, 5 cm and 6 cm, then construct a triangle similar to it, whose sides are 23 of the corresponding sides of the first triangle.

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Solution

Draw a line segment AB=4 cm


Draw an arc at 5 cm from point A.

Draw an arc at 6 cm from point B so that it intersects the previous arc.

Joint the point of intersection from A and B.

This gives the required ABC.


Dividing the base in 2:3 ratio:

Draw a ray AX at an acute angle from AB.

Plot three points on AX so that AA1=A1A2=A2A3
Join A3 to B.

Draw a line from point A2 so that this line is parallel to A3B and intersects AB at point B.

Draw a line from point B parallel to BC so that this line intersects AC at point C.


ΔACB is the required triangle.


635813_608668_ans_5e82a1d6c0254b8eba5a91211a767485.png


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