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The Pythagorean Theorem is a formula that can be used to find the length of the hypotenuse of a right triangle. This formula tells us that c2=a2+b2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides. This theorem only works in what we call “right triangles” or triangles with one 90-degree angle. In a right triangle the relationship between the lengths of the sides is a2=b2+c2 Let's say we have a triangle with sides of length x and y. The formula above tells us that a hypotenuse can be found by solving for c, for instance: If we were to put x=5 and y=8, then using the formula above, we get c=5+8=13. We see that c is 13 units. The length of the hypotenuse is therefore 5+13 or 18 units long. To find out how far away anything is from us, we would simply need to use our Pythagorean Theorem. To do this, we first need to find the height and measuring distance. We can find the height by finding the length of the other two sides of the triangle. The other two sides of a triangle are called “legs” as shown in picture 2. We can use those legs to find how far away something is from us using the Pythagorean Theorem as shown below: We can see that we can use our Pythagorean Theorem by plugging in the numbers we have found into it. In this case, we use the height of 3 and the measuring distance of 2 to find the distance from us to our student. We can use our Pythagorean Theorem in a number of ways. In conclusion, we would like to remind you that Pythagorean Triples can be used in many different ways. We have only shown a few of the forms that Pythagorean Triples can take, but there are many others. We hope that after reading this article your interest in studying these numbers has been rekindled and your curiosity for numbers has been piqued. We look forward to seeing you in our math classes. Pythagorean Theorem A man named Pythagoras was one of the greatest mathematicians that ever lived. He was born in about 570 BC in southern Greece, near the city of Pythion. He is known for his many discoveries in mathematics and geometry. One of his mathematical discoveries is called the Pythagorean Theorem, which he discovered around 500 BC. The Pythagorean Theorem is a formula that can be used to find the length of the hypotenuse of a right triangle. The distance formula requires us to combine our knowledge of trigonometry with geometry. cfa1e77820
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