Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.TA.2

TRIG.116 Solve a triangle using the Law of Sines Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.116 Solve a triangle using the Law of Sines. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.116 Solve a triangle using the Law of Sines - Primary standard selected for prompt fields in this prompt cell: UTRI.TA.2. Skill statement in this prompt cell: Select the correct Law of Sines setup and determine the missing side or angle. Associated standards listed with this skill in this prompt cell: UTRI.TA.2; CCSS HSG.SRT.D.10-11 (+); FL MA.912.T.1.3-1.4; VA T.TT.2a-c; TEKS §111.42(c)(4)(G)-(H). 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

Trigonometry

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 TRIG.116 Solve a triangle using the Law of Sines skill assessments:

Problem 1Difficulty: Mastery
Triangle ABC has A = 24 degrees, a = 9, and b = 14. Angle B is obtuse. Find side c. Round to the nearest tenth.
Solution & Explanation:First use sin(B)/14 = sin(24)/9, so B = 140.8 degrees. Then C = 180 - 24 - 140.8 = 15.2 degrees. Finally, c/sin(C) = 9/sin(24), so c = 5.8.
Problem 2Difficulty: Mastery
Triangle ABC has A = 29 degrees, a = 10, and b = 15. Angle B is acute. Find side c. Round to the nearest tenth.
Solution & Explanation:First use sin(B)/15 = sin(29)/10, so B = 46.7 degrees. Then C = 180 - 29 - 46.7 = 104.3 degrees. Finally, c/sin(C) = 10/sin(29), so c = 20.0.
Problem 3Difficulty: Mastery
Triangle ABC has A = 73 degrees, a = 30, and b = 18. What does the Law of Sines show about angle B? Round angle measures to the nearest tenth.
ATwo triangles are possible: B = 35.0 degrees or 145.0 degrees
BOnly B = 145.0 degrees is possible
CNo triangle is possible
DOne triangle is possible: B = 35.0 degrees
Solution & Explanation:The inverse sine gives 35.0 degrees. Its supplement would make the angle sum exceed 180 degrees, so only one triangle is valid.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Trigonometry Math students. It aligns with educational standard UTRI.TA.2 (Primary standard selected for prompt fields in this prompt cell: UTRI.TA.2. Skill statement in this prompt cell: Select the correct Law of Sines setup and determine the missing side or angle. Associated standards listed with this skill in this prompt cell: UTRI.TA.2; CCSS HSG.SRT.D.10-11 (+); FL MA.912.T.1.3-1.4; VA T.TT.2a-c; TEKS §111.42(c)(4)(G)-(H). Use this prompt-provided wording as the supporting standard description for this workflow.).

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