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Construct a triangle similar to given triangle ABC with its sides equal to 3/4 of corresponding sides ABC

 

Construct a triangle similar to given triangle ABC with its sides equal to 3/4 of corresponding sides ABC.

Required Triangle

Construction:

  • Draw a triangle ABC

  • Draw a ray BX, making an acute angle with BC.

  • Locate 4 points B1,B2,B3,B4 on BX like that BB1=B1B2=B2B3=B3B4
    Draw an arc with certain radius from B
    .
    Draw another arc with same radius from B1
    Like that draw 4 arcs

  • Join B4C .

  • Draw a line through B3 parallel to B4C intersecting BC at Cl
    Draw an arc with certain radius from B4
    With the same radius draw another arc from B3
    Measure the length of arc
    With that length intersect the arc




  • Draw line through Cl parallel to CA to intersect AB at Al
    Draw an arc with certain radius from C
    With same radius draw another arc from Cl
    Measure the length of arc
    With that length intersect the arc


  • So AlBlCl is the required triangle.