scalene triangle
a triangle with no congruent (equal) sides
A scalene triangle is a triangle with no congruent sides, meaning that all sides have different lengths. Therefore, each angle of a scalene triangle will also have a different measure. It is one of the three main types of triangles, the other two being equilateral and isosceles triangles.
Some important properties of scalene triangles include:
– The sum of the measures of the three angles is equal to 180 degrees.
– The longest side of a scalene triangle is always opposite the largest angle, and vice versa.
– The altitudes from each vertex of a scalene triangle will intersect at a point within the triangle, called the orthocenter.
– The medians from each vertex of a scalene triangle will intersect at a point within the triangle, called the centroid.
– The area of a scalene triangle can be calculated using Heron’s formula, which takes into account the lengths of all three sides.
One example of a real-life application of scalene triangles is in constructing roofs for houses or buildings. The sides of the triangles are the roof beams that create the overall structure, and the different lengths and angles of each triangle allow for the construction of a roof that fits the specific size and shape of the building.
More Answers:
Acute Triangles: Properties, Examples And FormulasMastering Right Triangles: The Pythagorean Theorem, Trigonometric Functions, And Special Ratios
The Properties And Formulas Of Equilateral Triangles – A Complete Guide