lunes, 8 de junio de 2009

miércoles, 27 de mayo de 2009

Pythagorean Theorem for finding equations for circles

The formula of the Pythagorean theorem can be also applied for finding a equation for a circle. With the equation you could find the exact value of any point in the circle or out or inside the cirlce.

For finding a point in the circle first you have to trace a line from the center of the cricle to the point. That will be the radius (r) or the hypotenuse of the triangle. Then you have to complete the rest of the triangle with a straight line from the point to the x-axis. That line will be one of the legs of the triangle (y). The leg that is left will be x.

Then, you have to aplly the formula that instead of being a²+b²=c² will be x²+y²=r². This will be the relationship among side lengths of a triangle with side x and y and radius r.

If the point is inside or outside the circle the equation will be an inequality. It means it woul be x²+y²r².








lunes, 18 de mayo de 2009

Pythagorean Theorem in right triangles

In right triangles all right angles have special names. The longest side or the opposite of right angle, is the hypotenuse. The other sides are the legs of the right triangle. The Pythagorean Theorem is an algebraic equation which relates the lengths of all the sides of a right triangle to each other.

The Pythagorean Theorem states that the sum of the squares of each leg is equal to the square of the hypotenuse. With this relationship we can find the leghths of all the sides when only two sides are given.

To use the pythagorean theorem for solving right triangles you have to substitute the given sides into the formula. Then you have to isolate the side you have left. Once you isolate, the square root of each side can by taken.


miércoles, 13 de mayo de 2009

Pythagorean Theorem

The pythagorean theorem is one of the earliest theorem known by ancient civilizations. It is named by the famous Greek mathematician and phisolosopher Pythagora. The Pythagorean Theorem is a statement about triangles containing a right triangle. It states:

"The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides."

According to the Pythagorean Theorem, the sum of the areas of two squares, is equal to the area of a third square. Though Pythagoras is credited with the famous theorem, it is likely that the Babylonians knew the result for certain specific triangles at least a millennium earlier than Pythagoras.

Bhaskara, a Hindu mathematician only explanation for the proof of the Pythagorean Theorem was, simply, "Behold".These proofs and the geometrical discovery surrounding the Pythagorean Theorem led to one of the earliest problems in the theory of numbers known as the Pythgorean problem.

The Pythagorean Theorem formula is:




miércoles, 6 de mayo de 2009

Project Introduction

My name is Andrea Alarcon. I am a student in Colegio Menor and I have been assigned a math project. For my project I have been assigned the theme of Pythagorean theorem. I have to play the role of a mathematician.

The Education Minister has hired me to make a program that contain information and exercises about the Pythagorean Theorem. My goal is to make students learn about the Pythagorean Theorem and prove their skills with exercises.

This blog is for students from all around the world. For putting all the information together I will use this blog. I will also use excel to show examples and to give exercises to practice. To explain what is the Pythagorean Theorem and to show the formulas and it history I will use word.