In mathematics‚ the Pythagorean theorem — or Pythagoras’ theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas‚ it states: In any right-angled triangle‚ the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the lengths
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she started work on it by herself only. However‚ later on‚ she got a great help from the other inspired women who were greatly appreciated that. That was how the project of making a dinner party begins. "The Dinner Party" table was an equilateral triangle shape having a ceramic floor tile inscribed with the significant names of women. Plates used for the dinner party were also hand painted with a various artwork. Some of the artwork on plates was really appreciated while some are quite ugly. Artwork
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PRINCIPALS OF ALL THE POLYTECHNICS UNDER CDTP SCHEME ARE INFORMED TO FILL UP THE DETAILS OF GRANTS RELEASED SINCE 20010-11 AND SEND BY MAIL TO manju_mys6@yahoo.co.in immediately( latest by 13-07-2013 eveni9ng) as the information being sought by Hon’ble member as LA Question |SL. nO.|nAME oF THE pOLYTECHNIC |dISTRICT |aMOUNT rELEASED |rEMARKS | | | | |10-11 |11-12
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Term 1 - Summative Assessment Mathematics Question Paper Set - 1 Time: 3 to 3 ½ hours Max. Marks: 80 All questions are compulsory. The questions paper consists of 34 questions divided into four sections A‚ B‚ C and D. Section A comprises of 10 questions of 1 mark each‚ Section B comprises of 8 questions of 2 marks each‚ Section C comprises of 10 questions of 3 marks each and Section D comprises of 6 questions of 4 marks each. Question numbers 1 to 10 in section A are multiple choice questions
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Calculate the expected population in 2008. 7. In triangle ABC‚ angle B is a right angle‚ angle A is equal to 45°‚ side AC = 20 cm. Find the length of side AB. 8. [pic] A‚ B and C are points on a circle‚ centre O. Angle AOB = 40°. (i) Write down the size of angle ACB. (ii) Find the size of angle OAB. 9. Find the hypotenuse of a right triangle with the other two sides measuring 3.2 cm and 2.4 cm.
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information we know that Vanessa must walk North x paces‚ then 2x + 4 paces to the East. We do not know which direction Ahmed must go‚ however‚ we assume that they will end up in the same location. Using a piece of paper‚ I drew the triangle and it is right triangle. Now I can use the Pythagorean Theorem to help solve for x. The Pythagorean Theorem is a^2 + b^2 = c^2. Letting a = x‚ b= 2x+4‚ and c = 2x + 6. a^2 + b^2 = c^2 Pythagorean Theorem x^2 + (2x+4)^2 = (2x+6)^2 Putting the binomials
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| 12 | 12 | 32 | Cos | 32 | 12 | 12 | tan | 13 | 1 | 2 2 3 300 600 1 1 3 | 2 450 1 1 Area of triangle There is an basic formula for finding the area of a triangle A=12BH but I’m going to look at how to find the area of a triangle WITHOUT the base OR the height. X Y Z As long were are given x‚y AND z we can find the area of this triangle without using the base or height. B A=12×X×Y×sinZ A C c a b AREA=12absinB You can’t find the area if you don’t meet
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Trigonometry Trigonometry uses the fact that ratios of pairs of sides of triangles are functions of the angles. The basis for mensuration of triangles is the right- angled triangle. The term trigonometry means literally the measurement of triangles. Trigonometry is a branch of mathematics that developed from simple measurements. A theorem is the most important result in all of elementary mathematics. It was the motivation for a wealth of advanced mathematics‚ such as Fermat’s Last Theorem
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the exact length of the purposed ramp. You know that the ramp will span 20 feet and drop 6 feet. If you sketch a side view of the ramp on a piece of graph paper you notice that it forms a right triangle. The length of the surface of the new ramp will be equal to the long side of this right triangle. Remembering the distance formula from MTH220 class‚ you consider how it can be used to find the length of the ramp. Equation and Variables The distance formula is used to find distance between
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Pythagorean Theorem was termed after Pythagoras‚ who was a well-known Greek philosopher and mathematician‚ and the Pythagorean Theorem is one of the first theorems identified in ancient civilizations. “The Pythagorean theorem says that in any right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse” (Dugopolski‚ 2012‚ p. 366 para. 8). For this reason‚ many builders from various times throughout history have used this theorem to assure that
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