CLASS-7
SCALENE TRIANGLE
SCALENE TRIANGLE -
A scalene triangle is a type of triangle in which all three sides have different lengths, and consequently, all three interior angles are also different. Here are the key properties of a scalene triangle:
- Unequal sides:- No two sides are of the same length.
- Unequal angles:- All three angles are different, though they still sum up to 180° (as with any triangle).
- No symmetry:- Unlike isosceles or equilateral triangles, scalene triangles do not have any lines of symmetry.
- Height and area:- There is no simple formula for height, but the area A can be calculated using Heron's formula, given the lengths of the sides a, b, and c:
a + b + c
s = ------------ (semi-perimeter)
2
A = √s (s−a) (s−b) (s−c)
Scalene triangles can be acute, right, or obtuse, depending on the nature of their angles.