Free Printable WorksheetMathGrade 8Math Curriculum8.G.B.7

8.130 Applying the Pythagorean Theorem to Find a Missing Leg Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.130 Applying the Pythagorean Theorem to Find a Missing Leg. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.130 Applying the Pythagorean Theorem to Find a Missing Leg - Which missing leg length is correct for the right triangle shown (including rounding if requested)? (CCSS 8.G.B.7; CA 8.G.B.7; MA 8.G.B.7)

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

Grade 8

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 8.130 Applying the Pythagorean Theorem to Find a Missing Leg skill assessments:

Problem 1Difficulty: Hard
A stage backdrop cable is 27.6 ft long and meets the floor 20.4 ft from the wall. How high is the backdrop? Round to the nearest hundredth.
Solution & Explanation:Use a2 + b2 = c2. The missing leg is sqrt(27.62 - 20.42) = sqrt(345.60) ≈ 18.59. Round after taking the square root.
Problem 2Difficulty: Hard
A rectangular office floor section has a diagonal of 26.2 m and a width of 15.5 m. Find the length to the nearest hundredth.
Solution & Explanation:Use a2 + b2 = c2. The missing leg is sqrt(26.22 - 15.52) = sqrt(446.19) ≈ 21.12. Round after taking the square root.
Problem 3Difficulty: Hard
A climbing wall support rope is 24.8 ft long and anchored 18.9 ft from the wall. Which value is the height where the rope is attached? Round to the nearest hundredth.
A16.06
B5.90
C18.90
D16.54
Solution & Explanation:Use a2 + b2 = c2. The missing leg is sqrt(24.82 - 18.92) = sqrt(257.83) ≈ 16.06. Round after taking the square root.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 8.G.B.7 (Primary standard selected for prompt fields: CCSS 8.G.B.7. Skill statement: Which missing leg length is correct for the right triangle shown (including rounding if requested)? Associated standards listed with this skill: CCSS 8.G.B.7; CA 8.G.B.7; MA 8.G.B.7. Use this embedded wording as the best available supporting standard description for this workflow.).

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