Question

It is possible to draw i) an obtuse-angled equilateral triangle ii)a right-angled equilateral triangle iii)a triangle with two right angles.

Answer 1

i) We can't draw an obtuse angled equilateral triangle, because for a triangle to be equilateral all the sides should be equal and all the corresponding angles also should be equal.

We know that sum of angles in a triangle is $180°$

$\therefore$ Each angle should be $60°<90°$

$\therefore$ We can't draw an obtuse angled equilateral triangle.

ii) We cannot draw a right angled equilateral triangle. Reason is as stated in i)

iii) We cannot draw a triangle with two right angles. If two angles are $90,90$ sum is $180$ and the third angle should be $0°$ (Then the triangle won't be formed )

$\therefore$ we cannot draw a triangle with two right angles.