Reason With Right Triangle Lengths: Apply and Create
Use the Pythagorean relationship for right triangles. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
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Unit goals and teaching guide →Independent activity · About 15 minutes · Pencil
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Page layout
0 practice pages · 0 answer pages. Pages are added automatically when needed. Question content and answer keys stay together.
About this practice
Grade 8 · math · Matching answer key included · US Letter and A4
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Teaching guide, sample answers and curriculum references
Before you begin
Review the key words and representations in Reason With Right Triangle Lengths. Use the Explore activity to check readiness before removing support.
How to use this worksheet
- Begin with: Find c if the legs are 3 and 4.
- Connect the response to: Find the missing leg if c = 10 and the other leg is 6.
- Ask students to apply the idea: Find the distance from (0,0) to (6,8).
A common mistake to discuss
Accepting an answer without checking whether it uses the material and satisfies the requested relationship or criteria.
What to practice next
Revisit the unit goals. Use the criteria to identify a specific response to improve; this activity alone does not establish mastery.
Original instructional material written for this practice.
Published 2026-10-04; updated 2026-10-04. Original MakeWorksheet practice. Automated consistency checks support publication; independent subject-specialist review is not recorded. Read our editorial policy.
Continue practicing
Practice previewReason With Right Triangle Lengths
Practice · Independent · 25 min
Use the Pythagorean relationship for right triangles. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
Practice previewReason With Right Triangle Lengths: Explore and Explain
Explore · Independent · 10 min
Use the Pythagorean relationship for right triangles. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
Practice previewReason With Right Triangle Lengths: Practice Independently
Practice · Independent · 10 min
Use the Pythagorean relationship for right triangles. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
Practice previewGeometry: The Pythagorean Theorem & Real-World Applications
Practice · Independent · 15 min
Calculate hypotenuse lengths, missing legs, and distance on coordinate grids using a² + b² = c² with complete step-by-step solutions.