Master essential geometric relationships with these GCSE Maths and KS3/KS4 geometry worksheets focusing on the Triangle Inequality Theorem. Perfect for KS3 and KS4 lesson practice, independent study, cover lessons, or exam revision, this printable resource contains a comprehensive student sheet alongside complete, fully worked step-by-step solutions to save you valuable marking time!
Save time planning your next secondary math or high school geometry lesson!
This comprehensive, no-prep worksheet provides secondary students with targeted practice covering the fundamental geometric properties of triangles. Ideal for students sitting the Foundation or Higher Tier GCSE Maths, IGCSE, or equivalent Key Stage international curriculums, this resource offers a clear, structured layout to build confident spatial reasoning and mathematical justification skills.
What Skills Are Covered?
• Verifying Triangles Side by Side: Testing the geometric rule that the sum of the shorter two sides must be strictly greater than the remaining side to prove or disprove a triangle’s existence (e.g., verifying sets like 12, 8, 6 vs 10, 5, 4).
• Finding Missing Third Side Ranges: Calculating between which two numeric boundary values a missing third side must fall given two known side measurements by using subtraction and addition limits (e.g., given sides 8 and 13, establishing the compound inequality 5 < x < 21).
What is Included in Your Download?
• Student Worksheet Pages: Clean, beautifully formatted pages with clear workspace for student answers.
• Step-by-Step Solutions: Full worked structural math answers detailing the addition checks and compound inequality setups to facilitate easy peer or self-assessment.
Perfect Classroom Use Cases:
• Main classroom teaching practice or independent desk work
• Cover lessons, emergency supply work, or filler tasks
• Weekly homework assignments
• GCSE Maths or KS3 geometry exam preparation and revision sessions
• Intervention and small-group math remediation tasks
Get this resource as part of a bundle and save up to 35%
A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
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Triangles (sum of angles-inequalities-isosceles) Bundle
A collection of three worksheets on the following topics: * Sum of angles in a triangle: evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees * Triangle inequalities: deciding whether three numbers can represent the lengths of the sides of a triangle and determining the possible lengths of the third side of a triangle given the lengths of the other two sides * Isosceles triangles: deciding whether a given triangle is an isosceles triangle using the properties of isosceles triangles( two equal sides, two equal angles, any two of the median, bisector and height corresponding to the same side coincide). Detailed solutions are included.
£2.90
Bundle
Triangle inequalities-Congruent triangles worksheets
Three worksheets on the following topics: * Triangle inequalities: deciding whether three numbers can represent the lengths of the sides of a triangle and determining the possible lengths of the third side of a triangle given the lengths of the other two sides * Congruent Triangles: deciding whether a given pair of triangles are congruent * Congruent right-angled triangles: deciding whether a given pair of right-angled triangles are congruent Detailed solutions are included.
£2.85
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