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Question -

Construct a triangle similar to a given ΔXYZ with its sides equal to (3/2) th of the corresponding sides of ΔXYZ. Write the steps of construction.



Answer -

Steps of construction :
(i) Draw a triangle XYZwith some suitable data.
(ii) Draw a ray YL makingan acute angle with XZ and cut off 5 equal parts making YY1= Y1Y2 =Y2Y3 = Y3Y4.


(iii) Join Y4 andZ.
(iv) From Y3,draw Y3Z’ parallel to Y4Z and Z’X’ parallel to ZX.
Then ΔX’YZ’ is the required triangle.

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