CBSE Class 7 Mathematics
Question 4 of 4
A Tale of Three Intersecting Lines — Question 4
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Question Through construction, explore if it is possible to construct an equilateral triangle that is (i) right-angled, (ii) obtuse-angled. Also construct an isosceles triangle that is (i) right-angled, (ii) obtuse-angled.
An equilateral triangle that is right-angled and obtuse-angled is not possible because each angle of an equilateral triangle is always 60°. An isosceles right-angled triangle has one angle of 90° and the other two angles of 45° each. An isosceles obtuse-angled triangle can have one angle as 120° and the other two angles of 30° each.