Q. 45.0( 2 Votes )

Construct each of

Answer :

Step 1:
Draw a line XY.



Step 2:


Mark a point D on XY and construct DZ perpendicular to XY.



Step 3:


With center D and radius 3.2cm cut an arc on DZ at A.



Step 4:


With A as center, draw UAD=30 intersecting XY at B and VAD=30° intersecting XY at C.



ABC is the required triangle.


Justification


By construction we can say,


ZDY=90°


BAC = BAD + CAD


BAC = 30°+30° =60°.


In ΔABD,


ABD + BAD + DBA = 180° (By Angle Sum Property)


30° + 90° + DBA = 180°


DBA = 60°


Similary, DCA = 60°


Thus, A = B = C = 60°


Thus our construction is justified.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Construction-1Construction-1Construction-145 mins
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
caricature
view all courses