What is a Scalene Triangle?
A triangle is a polygon made up of 3 sides and 3 angles.
We can classify triangles according to the length of their sides.
(i) Equilateral triangle: If all sides of a triangle are equal, then it is called an equilateral triangle.
(ii) Isosceles triangle: If two sides of a triangle are equal, then it is called an isosceles triangle.
(iii) Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.
Properties of the scalene triangle:
| All angles of a scalene triangle are unequal. | A scalene triangle has no line of symmetry. | The angle opposite to the longest side would be the greatest angle and vice versa. |
All sides of the given scalene triangle are unequal. | The given triangle cannot be divided into two identical halves. There is no line of symmetry. | In this triangle, angle E will be the greatest angle as it is opposite to the greatest side GO and angle O will be the smallest angle as it is opposite to the smallest side GE. |
A scalene triangle can be acute-angled or obtuse-angled or right-angled.
| Obtuse scalene triangle | Acute scalene triangle | Right scalene triangle |
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Real-life examples
| Fun Facts – The term scalene triangle is derived from Late Latin ‘scalēnus’ and from the Ancient Greek word ‘σκᾰληνός’ which means unequal or uneven. |
