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Question

Construct a triangle of sides 4.2cm,5.1cm and 6cm. Then construct a triangle similar to it, whose sides are 23 of corresponding sides of the first triangle.

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Solution

Draw a line segment AB=4.2 cm
Draw an arc at 5.1 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.

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