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Math Example--Polygons--Triangle Classification: Example 22

Math Example--Polygons--Triangle Classification: Example 22

A triangle with two equal angles labeled x and one angle labeled 2x.

Topic

Triangles

Description

This example shows a triangle with two equal angles labeled x and a third angle labeled 2x. Solving for x, we find the angles to be 45°, 45°, and 90°, classifying it as an isosceles right triangle.

Triangles are classified by their angle measures or side lengths. Right triangles have a 90° angle, and isosceles triangles have two congruent angles. Reviewing examples like this one helps students understand combined classifications.

Seeing multiple worked-out examples enables students to apply classification rules consistently and recognize triangle types based on angle measures.

Teacher's Script: "By solving for each angle, we find one angle to be 90° and two angles to be the same, making this an isosceles right triangle. Recognizing these features 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