# draw a triangle abc in which ab=5 cm bc=6 cm and angle abc= 60 degreesconstruct another triangle similar to triangle abc with scale factor 5/7 { 5 upon 7 }

We follow these steps to construct angle ABC   .

Step 1 :  Draw a line BC = 6 cm  .

Step 2 :  Now take any radius ( Less than half of BC ) and take center  " B "  draw an arc that intersect our line BC at  " P " , With same radius and center is " P "  draw another arc that intersect our previous  arc at "  Q " .

Step 3 :    Join BQ and extend it to D

Step 4 :  Take radius = 5 cm and center "  B "  we draw an arcs that intersect our line BD at "  A "  Now we join AC , and get triangle ABC .

Now We construct another triangle with scale factor $\frac{5}{7}$ , As :

Step 5 : Draw a line BX  As  $\angle$ CBX is any acute angle and draw seven equal radius arc on line BX that intersect at X1 . X2 , X3 , X4 , X5 , X6 and  X7 AS :

BX1  = X1 X2 = X2 X3 = X3X4 = X4X5 = X5X6 = X6 X7

Step 6 : Join X7 to C and than draw a line from X5  as parallel to X7C that intersect our line BC at C' .

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

We get triangle A'BC' whose sides are $\frac{5}{7}$ of corresponding sides of triangle ABC .

• 19
i just want to know the meaning of the words = scale factor 5/7 "