Proof of Pythagoras Theorem

Quadratic Equation Animation

Quadratic Equation:

ax2 + bx + c = 0

Proof of Pythagoras Theorem | MathPi

MathPi

Proof of Pythagoras Theorem

Step 1

Draw a right-angled triangle with sides a, b, and c, where c is the hypotenuse (the side opposite the right angle).

Step 2

Draw a square with sides c. The area of the square is c².

Step 3

Draw squares with sides a and b on the other two sides of the triangle. The areas of the squares are a² and b².

Step 4

Remove the triangles from the squares and rearrange the squares as shown in the diagram. The new square has sides a + b and area (a + b)² = a² + b² + 2ab.

Step 5

Equating the area of the new square to the sum of the areas of the smaller squares, we get:

(a + b)² = a² + b² + 2ab

a² + 2ab + b² = a² + b² + c²

2ab = c² - a² - b²

Comments

Post a Comment

Popular posts from this blog

5 Most Influential Mathematicians in the World

Image
5 Most Influential Mathematicians in the World 5 Most Influential Mathematicians in the World Leonhard Euler Leonhard Euler (1707-1783) was a Swiss mathematician and physicist who made significant contributions to various branches of mathematics, including calculus, number theory, and graph theory. He was also instrumental in the development of mathematical notation and terminology that is still in use today. Euler authored over 800 publications during his lifetime, including several landmark works such as "Introductio in analysin infinitorum" and "Institutiones calculi differentialis." He was a member of several prestigious academies, including the Royal Society in London and the St. Petersburg Academy of Sciences in Russia. Euler's legacy continues to inspire mathematicians and scientists around the world. Carl Friedrich Gauss Carl Friedrich Gauss was a G...
Read more

Tips and tricks For O-Level English paper 1

Improving Writing Skills for O Level English Paper 1 Improving Writing Skills for O Level English Paper 1 Scoring well in O Level English Paper 1 requires strong writing skills and effective techniques. Here are some tips to help you improve your writing and achieve a good grade: Develop a Solid Foundation: Ensure you have a good grasp of grammar, punctuation, and sentence structure. Practice writing correctly and seek feedback from teachers or peers. Read Widely: Expand your vocabulary and expose yourself to different writing styles by reading a variety of literature, news articles, and essays. This will enhance your understanding of language and help you develop a diverse writing style. Plan and Outline: Before starting your essay, spend a few minutes planning your ideas and organizing them into a logical structure. This will provide a clear direction for your writing and help you stay focused. Use Effective Introductions...
Read more