Class 7 Math: The Triangle and its Properties Solved Examples & Step Solutions
NexPro Tools Mathematics TeamJune 5, 20266 min read
The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 7 The Triangle and its Properties.
Step-by-Step Solved Problems
Example 1: Pythagoras Theorem Solver
Question: A right triangle has legs of length 3 cm and 4 cm. What is the length of the hypotenuse c?
Worked Solution Steps:
- Apply Pythagoras: a² + b² = c².
- Substitute: 3² + 4² = c² => 9 + 16 = c².
- Simplify: c² = 25.
- Take square root: c = √25 = 5 cm.
Final Answer: 5 cm
Self-Practice Method
When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.
📚 Class 7 Math Resource Hub for The Triangle and its Properties:
• 🧮 Interactive Solver: Solve The Triangle and its Properties Problems - Verify steps in real-time.
• 📝 Timed Practice Quiz: Take The Triangle and its Properties Online Quiz - Test your speed and concepts.
• 📄 Printable Worksheet: Download The Triangle and its Properties PDF Worksheet - Interactive problems with answers.
• 📐 Formula Sheet: View The Triangle and its Properties Key Equations - Complete revision references.
• 🔄 Next Topic Guide: Congruence of Triangles Study Notes
• 🎓 Syllabus Overview: Class 7 Mathematics Portal - Access all chapter guides.