Q23 of 49 Page 1

Draw a triangle ABC with side BC = 7 cm, and . Then construct a triangle whose sides are times the corresponding sides of ABC.

A + B + C=180° (Sum of angles of a triangle)

105° + 45° + C=180°


C=30°


Steps of Construction:


1.Draw a line segment BC of length 7cm.


2. Make an angle of 45° from B and an angle of 30° from C. The point where the rays meet is point A.



3.Draw a ray BZ making an acute angle with the line BC.Make 5 equal arcs starting from B, then B1 and so on till B5.



4.Join B5C.



5.As we have to get the triangle 3/5 times of this triangle ABC.


6.From B3, draw a line parallel to B5C cutting BC at C’.



7.Draw another line from C’ parallel to AC cutting AB at A’.



8. A’BC’ is our required triangle.


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