Free Printable WorksheetMathTrigonometryMath CurriculumHSG.SRT.D.9 (+)

TRIG.119 Use the trigonometric area formula for a triangle Worksheet

Download our free printable Trigonometry Math worksheet on TRIG.119 Use the trigonometric area formula for a triangle. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Use the trigonometric area formula for a triangle Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.119 Use the trigonometric area formula for a triangle. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.119 Use the trigonometric area formula for a triangle - Primary standard selected for prompt fields in this prompt cell: CCSS HSG.SRT.D.9 (+). Skill statement in this prompt cell: Select the correct area using (1/2)ab sine(C) and identify the included angle in the formula. Associated standards listed with this skill in this prompt cell: CCSS HSG.SRT.D.9 (+); 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.119 Use the trigonometric area formula for a triangle skill assessments:

Problem 1Difficulty: Mastery
Triangle RST has RS = 36, RT = 45, angle S = 57 degrees, and angle T = 43 degrees. Which option identifies the included angle for sides RS and RT and gives the area to the nearest tenth?
Aangle S = 57 degrees; area 679.4
Bangle T = 43 degrees; area 552.4
Cangle R = 80 degrees; area 797.7
Dangle R = 80 degrees; area 1595.4
Solution & Explanation:Sides RS and RT meet at R. Angle R = 180 - 57 - 43 = 80 degrees, and A = (1/2)(36)(45)sin(80 degrees) = 797.7.
Problem 2Difficulty: Mastery
A triangle has side lengths 40 and 52 with included angle 88.5 degrees. Find the area to the nearest tenth.
Solution & Explanation:A = (1/2)(40)(52)sin(88.5 degrees) = 1039.643..., which rounds to 1039.6.
Problem 3Difficulty: Mastery
Use the diagram. Two sides meeting at P are 18 and 25. The exterior angle at P is 130 degrees, so the interior included angle is 50 degrees. Which choice identifies the included angle and area to the nearest tenth?
Aexterior angle 130 degrees; area 225.0
Binterior angle 50 degrees; area 172.4
Cinterior angle 50 degrees; area 344.7
Dangle opposite P; area 172.4
Solution & Explanation:The triangle's included angle is the interior angle between the two sides, 50 degrees. A = (1/2)(18)(25)sin(50 degrees) = 172.4.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this TRIG.119 Use the trigonometric area formula for a triangle worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this TRIG.119 Use the trigonometric area formula for a triangle worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice TRIG.119 Use the trigonometric area formula for a triangle online with instant feedback?

Yes! In addition to this printable worksheet, students can practice TRIG.119 Use the trigonometric area formula for a triangle 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 Trigonometry Math students. It aligns with educational standard HSG.SRT.D.9 (+) (Primary standard selected for prompt fields in this prompt cell: CCSS HSG.SRT.D.9 (+). Skill statement in this prompt cell: Select the correct area using (1/2)ab sine(C) and identify the included angle in the formula. Associated standards listed with this skill in this prompt cell: CCSS HSG.SRT.D.9 (+); 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.).

Related Trigonometry Math Resources

Continue learning with complementary skill worksheets and online practice