Triangle Inequality Theorem PRACTICE ACTIVITIES

Product description

From the author

Use two activities to practise possible triangle side lengths. The first provides ten pairs of sides and asks for the shortest and longest possible whole-number third side. The second has ten multiple-choice questions, including contextual and conceptual items.

The four-page PDF includes directions, a two-per-page practice table, test practice and an answer key. Supplied links open a Google Sheet with red/green answer feedback and a Google Form for test practice. Online copying and live grading remain untested.

The activities address part of 7.G.A.2 by considering possible triangles; they do not supply the standard’s full drawing and construction work. Use is limited to the licensed teacher’s classroom under the included terms.

Related resources available separately

Activity

In the classroom

Teaching tips & learning objectives

Learning objectives

Student can determine the range of possible whole-number lengths for a triangle's third side given two known side lengths.
Student can apply the Triangle Inequality Theorem to real-world word problems (e.g., choosing valid straw lengths).
Student can state the Triangle Inequality Theorem in words.

Teaching tips

Assign the self-grading Google Sheets practice version first for students who need extra reps before the graded Google Forms test, as the resource itself recommends.
Use the word-problem items (e.g., the straw-length scenario) to check whether students can apply the theorem in context, not just compute a numeric range.
Review the conceptual multiple-choice question (which asks students to identify the theorem's correct statement) as a quick check for understanding before assigning the numeric problems.

Skills covered

Triangle Inequality Theorem application — students calculate the shortest and longest possible whole-number third side given two known triangle side lengths.
Theorem-based reasoning under real constraints — students solve word problems (e.g., choosing valid straw lengths to complete a triangle) using the same inequality rule.
Theorem identification — students select the correct verbal statement of the Triangle Inequality Theorem from multiple-choice options.

Good to know

Questions teachers ask about this resource

Which digital version goes with each activity?

The practice table links to Google Sheets, while the multiple-choice test practice links to Google Forms. Both are described as self-grading; the PDF also contains printable activities and an answer key.

No reviews yet

Downloaded this resource? Tell other teachers how it went.

Curriculum

Standards, concepts & topics

Standards

7.G.A.2 — Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Core concepts

Triangle Inequality Theorem
Triangle geometry

Topics

Triangle inequality Third side length Grade 7 geometry Self grading Google Forms

More to explore