Class 10 Math: Triangles 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 10 Triangles.

Step-by-Step Solved Problems

Example 1: Applying Similarity Area Ratio

Question: Two similar triangles ABC and PQR have corresponding sides of ratio 3:5. If Area of ABC is 18 sq cm, find Area of PQR.

Worked Solution Steps:

  1. Apply area ratio theorem: Area(ABC)/Area(PQR) = (3/5)² = 9/25.
  2. Substitute: 18 / Area(PQR) = 9/25.
  3. Cross multiply: 9 * Area(PQR) = 18 * 25 = 450.
  4. Divide: Area(PQR) = 450 / 9 = 50 sq cm.
Final Answer: 50 sq 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.

šŸ“š Class 10 Math Resource Hub for Triangles: • 🧮 Interactive Solver: Solve Triangles Problems - Verify steps in real-time. • šŸ“ Timed Practice Quiz: Take Triangles Online Quiz - Test your speed and concepts. • šŸ“„ Printable Worksheet: Download Triangles PDF Worksheet - Interactive problems with answers. • šŸ“ Formula Sheet: View Triangles Key Equations - Complete revision references. • šŸ”„ Next Topic Guide: Coordinate Geometry Study Notes • šŸŽ“ Syllabus Overview: Class 10 Mathematics Portal - Access all chapter guides.