Through construction, explore if it is possible to construct an equilateral triangle that is (i) right-angled (ii) obtuse-angled.
 
(i) Construction:
 
While constructing an equilateral triangle that is right angled, the angle to be constructed with the base line segment should be .
 
Interpretation:
 
Does all three side of the constructed right angled triangle equal?
 
Is it possible to construct an equilateral triangle that is right-angled?
 
 
(ii) Construction:
 
While constructing an equilateral triangle that is obtuse angled, the angle to be constructed with the base line segment should be .
 
Interpretation:
 
Does all three side of the constructed obtuse angled triangle equal?
 
Is it possible to construct an equilateral triangle that is obtuse-angled?