Q. 34.0( 19 Votes )

Construct a trian

Answer :

Steps of Construction:

Step I: AB = 6 cm is drawn.

Step II: With A as a centre and radius equal to 4cm, an arc is draw. Again, with B as a centre and radius equal to 5 cm an arc is drawn on same side of AB intersecting previous arc at C.

Step III: AC and BC are joined to form ΔABC.

Step IV: A ray AX is drawn making an acute angle with AB below it.

Step V: 5 equal points (sum of the ratio = 2 + 3 =5) is marked on AX as A1 A2....A5

Step VI: A5B is joined. A2 B' is drawn parallel to A5B and B'C' is drawn parallel to BC.

ΔAB'C' is the required triangle



C = C' and B = B' (corresponding angles)

Thus ΔAB'C' ~ ΔABC by AAA similarity condition

From the figure,

Hence Proved.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses