Last modified on July 8th, 2020

chapter outline

 

Scalene Triangle

Definition

Scalene triangle is a figure where no sides are of same length, and no angles are equal.

Scalene Triangle

Properties

Properties of a Scalene Triangle
  1. No equal (congruent) sides, in ∆ABC sides AB ≠ BC ≠ CA
  2. No equal angles, so ∠ABC ≠ ∠BAC ≠ ∠ACB
  3. No line of symmetry
  4. No point of symmetry
  5. Internal angles can be an acute, obtuse or right angle, for example in ∆ABC all angles are ∠90° and thus acute
  6. The smallest side is always opposite to the smallest angle, while the longest side is always opposite of the largest angle. In ∆ABC, since AB = smallest side, ∠ACB = smallest angle; similarly BC = longest side, ∠BAC = largest angle

Types

Scalene triangles are classified into three types: 1) acute scalene triangle, 2) obtuse scalene triangle, and 3) right scalene triangles.

The differences between the types are given below:

Types of Scalene Triangle

Formulas

The formulas for area and perimeter of a scalene triangle are the same as that of other triangles:

Area (A) = ½ (b × h), where b=base and h=height

Perimeter (P) = a + b + c, where a, b, c are the measures of three sides

Last modified on July 8th, 2020

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