Mathematics
Using ruler and compasses only, construct an equilateral triangle of height 4 cm and draw its circumcircle.
Constructions
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Answer
Steps of construction :
Draw a line XY and take a point D on it.
At D, draw perpendicular and cut off DA = 4 cm.
From A, draw rays making an angle of 30° on each side of AD meeting the line XY at B and C.
Now draw perpendicular bisector of AB intersecting AD at O.
With centre O and radius OA or OB or OC, draw a circle which will pass through A, B and C.
This is the required circumcircle of △ABC.
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