Download Class 9 Math Exercise 8.3 Notes PDF – Triangle Centroid (FBISE & Punjab Boards)
Download Class 9 Math Exercise 8.3 Notes to learn how to locate the centroid of a triangle when its three vertices are given as coordinates. The centroid—often called the “center of gravity”—is found by averaging the x and y values of all three points. Knowing this point helps you solve advanced geometry and physics problems in higher classes. These notes strictly follow the FBISE SLO‑Based 2025 syllabus and use language identical to the past‑paper questions from BISE Lahore, BISE Gujranwala, and BISE Multan. Every solution is graphed on a color diagram, so you can see exactly where the centroid falls inside the triangle.
In this exercise you will practice how to:
- Apply the centroid formulas (xc = (x₁ + x₂ + x₃)/3, yc = (y₁ + y₂ + y₃)/3).
- Verify centroid coordinates by checking all three medians intersect at the same point.
- Solve word problems that mix centroid with area and distance formulas.
- Answer multiple‑choice questions just like those on FBISE and Punjab board exams.
Why Download These Notes?
- Exact exam language makes revision faster and more effective.
- Step‑by‑step solutions let you check each stage of your work.
- Printable PDF saves mobile data and lets you annotate by hand.
More Chapter 8 Notes
Exercise 8.1 Notes (Triangle Area)
Exercise 8.2 Notes (Collinearity Test)
Exercise 8.4 Notes (Incenter & Circumcenter)
Miscellaneous Exercise 8 Notes
