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.


By construction we can say,



BAC = 30°+30° =60°.


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.

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