Finding a Missing Leg - Worksheet 8 - 8th Grade
HardUse the Pythagorean Theorem to find a missing leg (Hard)
23 problems · 15-20 minutes · Skills: pythagorean theorem, right triangles, algebra
About This Worksheet
This hard-level worksheet contains 23 problems designed for 8th Grade students practicing finding a missing leg. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.
Finding missing legs requires both algebraic manipulation and geometric understanding. This skill appears in every subsequent geometry and trigonometry course and in practical applications like finding the height of a building from shadow lengths.
- Rearrange a² + b² = c² to solve for a missing leg
- Apply square root to isolate the unknown leg length
- Verify solutions by confirming a² + b² = c²
- Simplify radical expressions when the missing leg is not a whole number
- Recognize which side is the hypotenuse in a non-standard triangle orientation
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this finding a missing leg - worksheet 8 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this pythagorean theorem worksheet cover?
This worksheet focuses on pythagorean theorem, right triangles, algebra. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 23 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.