Through construction, explore if it is possible to construct an isosceles triangle that is (i) right-angled (ii) obtuse-angled.
(i) Construction:
While constructing an isosceles triangle that is right angled, the angle to be constructed with the base line segment should be .
If \(AB\) is the base line, then the third vertex \(C\) should be marked on the arm in such a way that .
Interpretation:
What do you say about the sides of the constructed right angled triangle?
Is it possible to construct an isosceles triangle that is right-angled?
(ii) Construction:
While constructing an isosceles triangle that is obtuse angled, the angle to be constructed with the base line segment should be .
Interpretation:
Does two sides of the constructed obtuse angled triangle are equal?
Is it possible to construct an isosceles triangle that is obtuse-angled?