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Math Example--Polygons--Triangle Classification: Example 24

Math Example--Polygons--Triangle Classification: Example 24

A triangle with angles labeled x, 0.25x, and 1.1x.

Topic

Triangles

Description

This example shows a triangle with angles labeled as x, 0.25x, and 1.1x. Solving for x, we find that all angles are less than 90°, classifying the triangle as acute.

Triangles are classified by their angle measures or side lengths, with acute triangles having all angles less than 90°. Reviewing examples like this helps students reinforce the criteria for classifying triangles based on angle sizes.

Seeing multiple worked-out examples builds students' confidence in applying classification rules and identifying triangle types based on consistent properties.

Teacher's Script: "By solving for each angle, we see all angles are less than 90°, so this is an acute triangle. Observing angle measures helps us use the correct classification."

For a complete collection of math examples related to Triangles, click on this link: Math Examples: Triangle Classification Collection.

Common Core Standards CCSS.MATH.CONTENT.7.G.A.2, CCSS.MATH.CONTENT.4.G.A.2, CCSS.MATH.CONTENT.5.G.B.3
Grade Range 4 - 7
Curriculum Nodes Geometry
    • Triangles
        • Definition of a Triangle
Copyright Year 2013
Keywords triangles, classification