Scalene, isosceles, and equilateral triangles

Learning Objectives Define scalene, isosceles, and equilateral triangles based on their side lengths. Identify and classify triangles as scalene, isosceles, or equilateral given their side lengths. Draw examples of scalene, isosceles, and equilateral triangles. Explain the unique properties of each type of triangle. Solve simple problems involving the classification of triangles. Differentiate between the three types of triangles based on their characteristics. Have you ever noticed how many different shapes of triangles are all around us, from pizza slices to roof tops? 🍕 Let's discover the special names we give them! In this lesson, you'll learn to classify triangles into three main types: scalene, isosceles, and equilateral. Understanding these classifications...

TermDefinitionExample TriangleA polygon with three straight sides and three angles.A slice of pizza is often a triangle. Side LengthsThe measurements of the three sides of a triangle.A triangle might have sides measuring 3 cm, 4 cm, and 5 cm. Scalene TriangleA triangle where all three sides have different lengths. This also means all three angles are different.A triangle with side lengths 3 cm, 5 cm, and 7 cm is a scalene triangle. Isosceles TriangleA triangle where at least two sides have equal lengths. The angles opposite the equal sides are also equal.A triangle with side lengths 4 cm, 4 cm, and 6 cm is an isosceles triangle. Equilateral TriangleA triangle where all three sides have equal lengths. This also means all three angles are equal, each measuring 60 degrees.A triangle with sid...

Scalene Triangle Rule If a triangle has side lengths $a$, $b$, and $c$, then for a scalene triangle: $a \neq b$, $b \neq c$, and $a \neq c$. This rule states that all three sides of a scalene triangle must have different lengths. If you measure the sides and find no two are equal, it's scalene. Isosceles Triangle Rule If a triangle has side lengths $a$, $b$, and $c$, then for an isosceles triangle: at least two sides are equal. For example, $a = b$ or $b = c$ or $a = c$. This rule means that an isosceles triangle must have two or more sides that are exactly the same length. The angles opposite these equal sides will also be equal. Equilateral Triangle Rule If a triangle has side lengths $a$, $b$, and $c$, then for an equilateral triangle: $a = b = c$. This rule...