Math Example--Polygons--Triangle Classification: Example 19

Topic

Triangles

Description

This example presents a triangle with two congruent angles of 45° and one right angle of 90°. Because it has a 90° angle, the triangle is classified as a right triangle, and the two equal angles make it an isosceles right triangle.

Triangle classification can involve side lengths or angles. A right triangle has a 90° angle, while isosceles triangles have two equal angles or sides. This example combines both classifications. Reviewing multiple examples helps students confidently apply the criteria to identify triangle types.

Providing various worked examples reinforces understanding of classification rules, allowing students to recognize triangles by their angles and sides.

Teacher's Script: "This triangle has a 90° angle, making it a right triangle. The two equal angles also classify it as isosceles. Recognizing these features lets us apply the right classification."

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