Hypotenuse

Tasfia Haque Math Research Paper December 8, 2015 Mr. Rubinstein Period 6 The Pythagorean theorem is a theorem that states that the sum of the squares of two legs of a right triangle, a and b, is equal to the square of the hypotenuse, c. This can be written and shown as the equation, a2+b2=c2. Because a2+b2=c2, we can solve for the sides of the legs of the right triangles, in terms of this formula of the Pythagorean theorem. C=√(A2+B2) A=√(C2-B2) B=√(C2-A2) This

memory, it will allow one to remember at least the three basic trigonometric ratios: Sine (sin.), Cosine (cos.), and Tangent (tan.). Before one learns about how SOHCAOTOA is split up, we must learn about the angles in a right triangle. First off, the hypotenuse is the longest line in a triangle, then in order to find the adjacent and opposite, one must locate where the angle. Upon locating the angle, we can conclude that the opposite is further away from the angle, whereas the adjacent is the closer one

named, calling it the Pythagorean Theorem. This theorem applies to the right triangle stating, that by adding the length of both legs squared you can then find the squared length of the hypotenuse. This theorem is set up in way that if you know two of the variables, whether it is a leg(b or a) and the hypotenuse (c) or both legs (a and b), you will always be able to find the third measurement. However, why does this theorem work? Why does a2+b2=c2? That is the question that is asked hundreds of times

a number because that is its side length. As we see there is a number 5. This side is called the hypotenuse. The hypotenuse is always the side the is directly across from the 90o angle. There is a number 3. This side is called adjacent. And there is also a number 4. This side is called opposite. There is an acronym

| | 20% | | | 25% | | | 40% | A blouse is on sale for 35% off, and the sale price is marked as $19.50. What was the original price of the blouse? | | $26.32 | | | $30.00 | | | $54.50 | | | $55.71 | A right triangle has hypotenuse 20. One leg has length 16. What is the length of the other leg? | | 12 | | | | | | 6 | | | 36 | A right triangle has an area of 54. If the base is 9, what is the perimeter? | | 27 | | | 36 | | | | | | | The area

A Brief Biography of Pythagoras Pythagoras was a Greek religious leader who made huge developments in math. He is described as the first pure mathematician. Pythagoras is a very important figure in the development of mathematics and he made many contributions to the math we use today. Pythagoras was born c.570 BCE in Samos, Ionia, Greece and died on c.495 BCE on Matapontion. There is not a lot of information about his childhood. In 532 BCE, Pythagoras emigrated to Italy, where he attended a

Buried Treasure Ashford University MAT 221 Buried Treasure For this week’s Assignment we are given a word problem involving buried treasure and the use of the Pythagorean Theorem. We will use many different ways to attempt to factor down the three quadratic expressions which is in this problem. The problem is as, ““Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the

The Greeks and the Egyptians used triangles as early as 3500 BCE. They used these triangles as rules of thumb. They could apply these rules to specific applications. For example, the Egyptians knew that the 3:4:5 ratio was a right triangle. They could derive this because for them to create a right triangle the Egyptian land surveyors used a rope divided into twelve equal parts, creating a triangle with three pieces on one side, four pieces on the second side, and five pieces on the last side. The

first to prove that it was correct. This theorem relates to the three sides of a right triangle. It states that the square of a hypotenuse is equal to the sum of the squares of the other sides. The formula for this is “a^2+b^2=c^2.” In this formula a and b = the two shorter sides of the right triangle. C is equal to the side that is opposite of the right angle, or the hypotenuse. Pythagoras was also responsible for introducing more rigorous

The most common thing people associate the mathematician Pythagoras with is the Pythagorean Theorem that describes the relationship of the the sides of a right triangle, which is a^2 + b^2 = c^2. Some know him as the first pure mathematician. (Mastin, 2010) His teachings come before other famous philosophers and thinkers, such as Plato and Aristotle. Who is Pythagoras and how did he impact the mathematical world of geometry? In order to answer the previous question, there must be an understanding