We are the students of Pertevniyal who see mathematics not merely as a subject or an academic pursuit, but as the purest form of understanding, thinking, and questioning the universe. Because we know that mathematics is not just about numbers, formulas, or exams. Mathematics is the way the human mind structures thought—a universal language we use to comprehend the world, analyze phenomena, and solve complex problems. As the Pertevniyal Mathematics Club, our goal is to speak this language more fluently, to grasp it deeply, and to share it together. Our club provides a space to develop our analytical thinking skills, enhance our problem-solving abilities, and strengthen our approach to abstract reasoning. We aim not only to learn theoretical knowledge but also to explore the thought structures behind it. This club creates an environment where students united by a shared passion for mathematics can freely exchange ideas, learn from one another, collaborate on projects, and think beyond academic boundaries. Through workshops, discussions, studies on the history of mathematics, competitions, and original content creation, we bring mathematics beyond the classroom and into everyday life. We are not just mathematicians—we are a community that lives, thinks, and grows with mathematics. The Pertevniyal Mathematics Club exists through the voice, ideas, and contributions of every student who embraces thinking, questioning, and creating on this journey. Because we believe that true learning begins when we think together.
Did you know that you can calculate the area of a triangle using only the lengths of its sides? Here's the mathematical journey behind Heron's Formula! 📏🔍
🧩 First, right triangles are formed using the triangle’s height, and the Pythagorean Theorem comes into play.
✏️ A perpendicular is dropped from point A to side BC, dividing it into two segments: x and a − x. With these segments, two separate Pythagorean relationships are established to find the height (h).
📐 Then, using the classic area formula (base × height / 2), the expression is simplified and common denominators are arranged.
🔄 And after all these steps, the famous Heron's Area Formula emerges:
▶️ Area = √[u × (u - a) × (u - b) × (u - c)]
Here: u = (a + b + c) / 2 → half the perimeter of the triangle.
📜 Heron developed this formula in the 1st century AD. The compact form we use today is actually the result of this detailed mathematical transformation. Fascinating, isn't it? 😍
🎓 This formula allows us to find the area of a triangle without needing anything other than the side lengths.