To construct a similar triangle with its sides 3/2 times the corresponding side of triangle ABC which point should b joined to B 

Dear Student,

Please find below the solution to the asked query:

We follow these steps to construct angle ABC   .

Step 1 :  Construct any triangle ABC . and extend line BC to " Y "  we get line BY  and extend line BA to " D "  we get line BD .

Now We construct another triangle with scale factor 32 , As :
              
Step 2 :Below BC,  draw a line BX  As  CBX is any acute angle and draw three arcs of equal radii on line BX that intersect at X1 . X2 and  X3 AS :

  BX1  = X1 X2 = X2 X3 

Step 6 : Join X2 to C and than draw a line from X3  as parallel to X2C that intersect our line BY at C' .

Step 7 : Draw line from C' as parallel to CA that intersect line AB at A'  .



We get triangle A'BC' whose sides are 32 of corresponding sides of triangle ABC .
Hope this information will clear your doubts about Constructions.

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