The Ultimate Guide To Scalene Triangles: Definition, Classification, And Formulas

Scalene Triangle

a triangle with no congruent sides

A scalene triangle is a type of triangle in which none of the sides are equal in length. In other words, all sides of a scalene triangle have different lengths. It is a type of irregular triangle that does not have any lines of symmetry.

In addition to the different side lengths, the angles in a scalene triangle are also different. This means that each angle has a different degree measurement. The sum of the internal angles in a scalene triangle always equals 180 degrees, just like any other triangle.

Scalene triangles can be classified as acute, obtuse, or right triangles based on the size of their angles. An acute scalene triangle has all three angles measuring less than 90 degrees. An obtuse scalene triangle has one angle measuring greater than 90 degrees. A right scalene triangle has one angle measuring exactly 90 degrees.

To find the area of a scalene triangle, you can use the formula A = 1/2 * b * h, where b is the length of the base of the triangle and h is the perpendicular height from the base to the opposite vertex. In a scalene triangle, because all sides and angles are different, the height will not be the same for each side. To find the height of a scalene triangle, you can use the formula h = b * sin(x), where x is the angle opposite the side you want to find the height for.

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