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Mathematics 18 Online
OpenStudy (anonymous):

Which of the following types of polygons do not exist? (i) right triangles (ii) with right angles (iii) with all acute angles

OpenStudy (anonymous):

I assume by (ii)with right angles,you mean a triangle which has more that one right angle.If so that is the answer.

OpenStudy (anonymous):

CORRECTION: (i) EQUILATERAL right triangles (ii) TRAPEZOIDS with right angles (iii)RHOMBI with all acute angles

OpenStudy (anonymous):

Well here the answer is definitely (i)

OpenStudy (anonymous):

thanks, but PLEASE explain

OpenStudy (anonymous):

It says it is an equilateral right triangle.A right triangle means there must be a right angle and an equilateral triangle means all angles must be equal.So an equilateral right triangle means a triangle with all 3 angles as 90 degrees.Imagine that!Sum of angles in a triangle is 180 degrees but if you see sum of three 90 degrees is 270 degrees.You can just see why there can't be more than 1 right angle in a triangle

OpenStudy (phi):

A rhombus can not have all 4 acute angles |dw:1333064685345:dw| a rhombus has 4 equal sides, so you could call a square a special kind of rhombus, but you still do not have 4 acute angles. Also, depending on your definition, ii may not exist.

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