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Math Example--Polygons--Triangle Classification: Example 21

Math Example--Polygons--Triangle Classification: Example 21

A triangle with angles labeled x, 2x, and 3x.

Topic

Triangles

Description

This example shows a triangle with angles labeled as x, 2x, and 3x. Solving for x, we find that the angles are 30°, 60°, and 90°, classifying it as a right triangle.

Triangle classification can involve angle measures or side lengths. Right triangles have one 90° angle, as seen here. Reviewing various examples supports students in consistently applying these classification rules.

Observing multiple worked-out examples helps students gain confidence in identifying triangles based on the presence of specific angle measures.

Teacher's Script: "By solving for the angles, we see that one angle is 90°, making this a right triangle. Noticing the presence of a right angle helps us apply 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