Math Example--Polygons--Triangle Classification: Example 23
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Geometry >> Triangles >> Definition of a Triangle

Math Example--Polygons--Triangle Classification: Example 23

Math Example--Polygons--Triangle Classification: Example 23

A triangle with angles labeled x, 3x, and 5x.

Topic

Triangles

Description

This example shows a triangle with angles labeled x, 3x, and 5x. Solving for x, we find the angles to be 20°, 60°, and 100°, which classifies this triangle as obtuse because one of the angles is greater than 90°.

Triangles can be classified by angle measures, with obtuse triangles defined as having one angle greater than 90°. Observing examples like this aids students in understanding how angle measures determine classifications.

Providing multiple worked-out examples reinforces students' ability to consistently classify triangles based on angle properties.

Teacher's Script: "By solving for each angle, we see that one angle is over 90°, making this an obtuse triangle. Recognizing angle sizes 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