What is a Scalene Triangle?
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|
– The term scalene triangle is derived from Late Latin ‘scalēnus’ and from the Ancient Greek word ‘σκᾰληνός’ which means unequal or uneven.