Classify triangles

Learning Objectives Identify the three types of triangles based on their side lengths. Identify the three types of triangles based on their angle measures. Distinguish between acute, right, and obtuse angles within a triangle. Classify a given triangle as equilateral, isosceles, or scalene. Classify a given triangle as acute, right, or obtuse. Classify a triangle using both its side and angle properties. Ever wonder why some roofs are pointy and others are flat? 🏠 It's all about triangles and how we classify them! In this lesson, you'll learn how to sort triangles into different groups based on the lengths of their sides and the measures of their angles. Understanding these classifications helps us describe and understand shapes in the world around us, from build...

TermDefinitionExample TriangleA polygon with exactly three straight sides and three interior angles.A slice of pizza 🍕 or a yield sign on the road. Equilateral TriangleA triangle where all three sides are equal in length, and all three angles are equal (each 60 degrees).A triangle with sides 6 cm, 6 cm, 6 cm. Isosceles TriangleA triangle where at least two sides are equal in length. The angles opposite the equal sides are also equal.A triangle with sides 9 cm, 9 cm, 5 cm. Scalene TriangleA triangle where all three sides have different lengths, and all three angles have different measures.A triangle with sides 4 cm, 6 cm, 8 cm. Acute TriangleA triangle where all three interior angles are acute (each measures less than 90 degrees).A triangle with angles 50°, 60°, 70°. Right TriangleA trian...

Angle Sum Property of Triangles The sum of the interior angles of any triangle is always 180 degrees. $\angle A + \angle B + \angle C = 180^\circ$ Use this rule to find a missing angle in a triangle or to verify if a set of angles can form a valid triangle. Classification by Side Lengths A triangle is classified by its sides as: * **Equilateral**: All 3 sides are equal ($a=b=c$). * **Isosceles**: At least 2 sides are equal ($a=b \neq c$ or $a=b=c$). * **Scalene**: All 3 sides are different ($a \neq b \neq c \neq a$). Use these criteria to classify a triangle based on the measurements of its side lengths. Classification by Angle Measures A triangle is classified by its angles as: * **Acute**: All 3 angles are less than $90^\circ$ (e.g., $\angle A < 90^\circ,...