Free Printable WorksheetMathGeometryMath CurriculumG-CO.C.10

GEO.60 Triangle inequality and angle side relationships Worksheet

Download our free printable Geometry Math worksheet on GEO.60 Triangle inequality and angle side relationships. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.60 Triangle inequality and angle side relationships. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.60 Triangle inequality and angle-side relationships - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.10. Skill statement in this prompt cell: Select which side or angle is greatest (or whether a triangle is possible) based on triangle inequality and angle-side relationships. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.10; FL MA.912.GR.1.3; MA G-CO.C.10; NY GEO G.G-CO.C.10; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.60 Triangle inequality and angle side relationships skill assessments:

Problem 1Difficulty: Mastery
In triangle ABC, the side lengths satisfy AB < BC < AC. Which angle-side conclusion is guaranteed?
Aangle A < angle C < angle B
Bangle C < angle A < angle B
Cangle B < angle A < angle C
Dangle A < angle B < angle C
Solution & Explanation:Sides and their opposite angles have the same order. AB is opposite angle C, BC is opposite angle A, and AC is opposite angle B. Therefore angle C < angle A < angle B.
Problem 2Difficulty: Mastery
Two sides of a triangle are 4.2 and 9.7. The third side s is a whole number and must be the greatest side. What is the largest possible value of s?
A9
B10
C13
D14
Solution & Explanation:Triangle inequality gives 9.7 - 4.2 < s < 9.7 + 4.2, so 5.5 < s < 13.9. To be the greatest side, s > 9.7. The largest whole number that works is 13.
Problem 3Difficulty: Mastery
In a triangle, one side of length 12 is opposite a 58 degree angle, and another side of length 15 is opposite angle theta. What must be true about theta?
Atheta < 58 degrees
Btheta = 58 degrees
Ctheta > 58 degrees
Dtheta cannot be compared to 58 degrees
Solution & Explanation:The side of length 15 is longer than the side of length 12. A longer side is opposite a larger angle, so theta must be greater than 58 degrees.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.60 Triangle inequality and angle side relationships worksheet?

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QIs this GEO.60 Triangle inequality and angle side relationships worksheet free for teachers and homeschoolers?

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Yes! In addition to this printable worksheet, students can practice GEO.60 Triangle inequality and angle side relationships interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-CO.C.10 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.10. Skill statement in this prompt cell: Select which side or angle is greatest (or whether a triangle is possible) based on triangle inequality and angle-side relationships. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.10; FL MA.912.GR.1.3; MA G-CO.C.10; NY GEO G.G-CO.C.10; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).

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