Essays on Hypotenuse

The sine is the ratio of the opposite leg of the right triangle to its hypotenuse. Let’s imagine that we have the Cartesian coordinate system and a circumference with the same center and radius R. Every angle can be depicted as a rotation operation from the positive x-axis to some interval that joins together the center of the Cartesian coordinate system and some point of the circumference. The length of this interval is equal to the radius and can be depicted as the hypotenuse of the right triangle. The adjacent leg of the triangle belongs to the x-axis, ...

Introduction

The concept of The Pythagorean Theorem is one of the most fundamental concepts in geometry. Theorem is widely applied in various areas of life from planning and construction to geography and navigation. The knowledge of The Pythagorean Theorem gives an opportunity to determine the length of any of the sides of the right triangle if 2 other sides are already known. For example, we may apply this concept in practice in our everyday life, when calculate our route to or from school or try to estimate the shortest distance from one point to another. The problem below gives an ...

Abstract

Solving the problem of treasure map using Pythagorean Theorem is the main focus. The treasure is buried and finding it by saving the time of digging is the solution to the problem. Ahmed who have half of the treasure map if share with Vanessa then it becomes easy to finding the treasure. The theorem helps in finding the paces from the castle rock by applying the formula. The quadratic equations formed by using Pythagoras theorem and solving those equations we get the value of x.Buried Treasure By Pythagoras Theorem Ahmed has half of a treasure map, which indicates that ...

Introduction

Pythagoras theorem is named after a Greek mathematician Pythagoras who lived in 475BC. Despite the theorem being named after him, he was not the only ancient person who came up or probably used the theorem because the Babylonians and used it in ancient civilization. In the theorem Pythagoras creates a relationship between the hypotenuse and two sides of a right angled triangle as a2 + b2 = c2. Later on, mathematician from north Europe came up with Pythagoras triples to simplify on ways of obtaining sides of right angled triangles. As years went by, different mathematicians came up with different was of proofing the ...

Project

Introduction Mathematics consists of many implications that deal not only with abstract matters, but with the real world. One of such wonders, that can be explained mathematically, is the existence of a Pythagorean triangle. Invented many years ago, the Pythagorean Theorem describes the relationship of three integers in every right triangle, when the length of hypotenuse squared equals to the sum of the length of the sides: c² = a² + b²

Body

A Pythagorean triple is simply a set of three integers that are the sides of a perfect triangle, when one of the angles is 90 degrees, the right angle.

One of the prime triples is 3,4,5.

9+16 = 25 and ...

Introduction

Taxicab geometry is a better idealized model for urban geography as compared to Euclidean geometry. This is very applicable in urban planning where distances within the roads are divided within rigid blocks and the shortest distance cannot be the hypotenuse. This is very helpful in establishing the shortest distance between any two points. ( Surhome, Timpledon & Susan). Geometry can be traced back over 2000 years. This is solely refers to Euclidean geometry introduced by Euclid. A German mathematician Hermann Miknowski proposed taxicab geometry. He had the proposition that distances in taxicab geometry is different than in Euclidean geometry. His ...