Classify triangles

Learning Objectives Identify and name triangles based on their side lengths (equilateral, isosceles, scalene). Identify and name triangles based on their angle measures (acute, right, obtuse). Classify a given triangle by analyzing its side lengths. Classify a given triangle by analyzing its angle measures. Apply the Triangle Angle Sum Theorem to determine missing angle measures. Distinguish between different types of triangles based on provided information (diagrams or descriptions). Have you ever noticed how many different shapes have three sides? 📐 What makes them unique? In this lesson, you'll learn how to sort and name triangles based on their sides and angles. Understanding these classifications helps us describe the world around us more precisely, from architec...

TermDefinitionExample TriangleA polygon with three straight sides and three interior angles.A slice of pizza 🍕 is often a triangle. Equilateral TriangleA triangle where all three sides are equal in length, and all three angles are equal (each measuring 60 degrees).A yield sign in traffic is an equilateral triangle. Isosceles TriangleA triangle where at least two sides are equal in length. The angles opposite the equal sides are also equal.The two slanted sides of a typical house roof often form an isosceles triangle. Scalene TriangleA triangle where all three sides have different lengths, and all three angles have different measures.A broken piece of glass might form a scalene triangle. Acute TriangleA triangle where all three interior angles are acute (each measuring less than 90 degree...

Triangle Angle Sum Theorem $\\angle A + \\angle B + \\angle C = 180^\\circ$ The sum of the measures of the three interior angles of any triangle is always exactly 180 degrees. This rule helps find a missing angle or confirm if a shape is a triangle. Triangle Inequality Theorem (Side Length Rule) $a+b > c$, $a+c > b$, $b+c > a$ The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This rule determines if three given side lengths can actually form a triangle.