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Classify the triangle by its angles and by its sides?
All angles equal = all sides equal = equilateral. Two angles equal = two sides equal = isosceles. All angles different = all sides different = scalene. An isosceles or scalene triangle may be right-angled or obtuse-angled if one of its angles is a right angle or obtuse angle (respectively).
What is a triangle with no right angles?
Equilateral Triangles do not contain right angles, since all angles in this shape are equal and it is impossible to make a triangle that consists of three 90 degress angles. Isosceles and Scalene may contain a right angle.
Can a right angled triangle sometimes be a equilateral triangle?
No, since an equilateral triangle has three congruent angles of 60 degrees, and a right triangle must have an angle of 90 degrees. However, a right triangle may be an isosceles triangle.
What kind of triangle has no equal sides or angles?
This is a SCALENE triangle. There several types of triangle; Equilateral ; The three sides are the same length and the three angles are ALL 60 degrees. All angles are ACUTE Isosceles ; Two sides are the same length , and two angles have the same degree value. . May be ACUTE or OBTUSE. Right angled ; The three sides may vary in length, but ONE angle is 90 degrees. Is ACUTE, and maybe ISOSCELES. Scalene ; All three sides are of different length, and all three angles have different degree value. May be ACUTE or OBTUSE. Fort ALL triangles , of whatever shape, the sum of the interior angles is ALWAYS 180 degrees.
What is the difference between an obtuse scalene triangle and an acute isosceles triangle?
The word 'Triangle' means 'three angles' more archaicly, a 'trigon'. It is also a collective noun for different shapes of triangles. OBTUSE ; one of the angles in a triangle is greater than 90 degrees. By summation it means the other two angles musr be less than 90 degrees, SCALENE ; All the sides and all the angles are different. This type of triangle my exhibit obtuse characteristics. ACUTE ISOSCELES ; All the angles are less than 90 degrees. Two of the three angles are the same size, and two of the three sides are the same length. NB It is possible to have an OBTUSE Isosceles. triangle. There is a fourth type of triangle, which is a 'RIGHT ANGLED' triangle. In this case one angle is 90 degrees. This type of triangle may be ISOSCELES or SCALENE. NB For ALL triangles, drawn on a plane surface, the sum of the interior angles is ALWAYS 180 degrees. However, for triangles drawen on a curved surface; a sphere , the EARTH, the sum of the interior angles may add up to 360 degrees.
