Mathster Talks Math

Pythagoras is undoubtedly one of the most famous philosopher/mathematician. Pythagoras is infamous for the eponymous Pythagorean Theorem. In fact, anthropologists have found that the theorem was found before by other cultures - Babylonians, Egyptians, and the Indians. The theorem states that the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides. Mathematically, the theorem can be expressed as: If we conflated both the Pythagoras’s theorem and coordinates, we could find the distance between two points. . '. The distance AB = 3 which is the difference between the x-values of A and B. Similarly, BC = 4 which is the difference between the y-values of B and C. What would happen if the coordinates did not have value, but rather were written in terms of x and y? Would you be available to find the distance of the hypotenuse? Let’s explore: If the coordinates of point A were changed to (x 1 , y 1 ) and point B to (x 2 , y 2 ), then...