Scalene Triangle Calculator
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Scalene Triangle
About Scalene Triangles
A scalene triangle is a triangle where all three sides have different lengths and all three angles have different measures. It's the most general type of triangle.
Key Properties
- All three sides are of different lengths
- All three angles are of different measures
- No lines of symmetry
- No equal angles or sides
- Can be acute, right, or obtuse
Formulas
- Area (Heron's): A = √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2
- Perimeter: P = a + b + c
- Height: h = 2A / base
Frequently Asked Questions
What makes a triangle scalene?
A triangle is scalene if all three sides have different lengths. This automatically means all three angles are also different.
Can a scalene triangle be a right triangle?
Yes, a scalene triangle can be a right triangle if one angle is 90° and all three sides are different lengths.
How do I find the area of a scalene triangle?
Use Heron's formula: first calculate s = (a+b+c)/2, then Area = √[s(s-a)(s-b)(s-c)].
Does a scalene triangle have any symmetry?
No, a scalene triangle has no lines of symmetry and no rotational symmetry because all sides and angles are different.
What's the difference between scalene and isosceles?
Scalene triangles have all different side lengths, while isosceles triangles have at least two equal sides.
Can all three heights be different?
Yes, in a scalene triangle all three heights are different because all sides are different and area is constant.