One other aspect of geometry that may be seen on police officer exams concerns right triangles. The Pythagorean theorem states that the square of the side opposite the right angle equals the sum of the squares of the other sides, or A2 + B2 = C2. A First Course in Algebra - Page 88by Frederick Charles Kent - 1913 - 249 pagesFull view - About this book
| 1908
...find that 5' = 4' + 3*, or 25 = 16 + 9. This holds good for all right angle triangles. The square of **the side opposite the right angle equals the sum of the squares** of the sides including the right angle. Suppose, for instance, that in Fig. 38 we know the length of... | |
| George Wentworth, David Eugene Smith - Arithmetic - 1910 - 216 pages
...same perimeter but 100 ft. wide ? 75. Square Root The square on the hypotenuse of a right triangle **equals the sum of the squares on the other two sides. Thus in** this triangle 92 -f 12" = 15", for 81 + 144 = 225. So if AB and AC are known, BC = т/ AB2 + AC3. 1.... | |
| F. L. Sylvester, Erik Oberg - Machine design - 1910 - 333 pages
...the three sides in a right-angled triangle holds good for all right-angled triangles. The square of **the side opposite the right angle equals the sum of the squares** of the sides including the right angle. Assume, for example, that the lengths of the two sides including... | |
| George Morris Philips, Robert Franklin Anderson - Arithmetic - 1913 - 478 pages
...or the base extended. BASE BASE Important Facts 1. In a right triangle the square on the hypotenuse **equals the sum of the squares on the other two sides. Thus,** the square whose side is AC contains as many square units as the two squares whose sides are AB and... | |
| John Lawlor - Transportation - 1991 - 147 pages
...third side by applying the Theorem of Pythagoras, which states that, in a right triangle, the square of **the side opposite the right angle equals the sum of the squares** of the other two sides. The 108-inch wheelbase is the side opposite the right angle, and 108 squared... | |
| Galileo Galilei - Science - 1997 - 387 pages
...of the geometrical theorem (named after him) that in a right triangle the square of the hypotenuse **(the side opposite the right angle) equals the sum of the squares** of the other two sides. question begging. See begging the question. rationalism. A term sometimes used... | |
| William P. Berlinghoff, Kerry E. Grant, Dale Skrien - Mathematics - 2001 - 602 pages
...famous statements in all of mathematics, says: If a triangle contains a right angle, then the area of **the square on the side opposite the right angle equals the sum of the** areas of the squares on the other two sides. CHAPTER 3 * MATHEMATICS OF AXIOM SYSTEMS: GEOMETRIES DAB... | |
| Karen Lurie - Study Aids - 2003 - 184 pages
...theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side, **the side opposite the right angle) equals the sum of the squares** of the lengths of the two other sides. In other words, where is the hypotenuse: A common right triangle... | |
| Paul Eidelberg - Philosophy - 2004 - 328 pages
...is defined in Book I, Proposition 47, of Euclid's Elements: "In right-angled triangles the square of **the side opposite the right angle equals the sum of the squares on the** sides containing the right angle." • At its deepest level, all existing objects and their relations... | |
| Les Evans - Education - 2006 - 168 pages
...time to cross our asses' bridge and establish proposition 47 or Pythagoras' theorem: In a right-angled **triangle, the square on the side opposite the right angle equals the sum of the squares on the** sides containing the right angle. Using lemma 1: BA = a - b BC = cb ~AC = ca Complex Numbers and Vectors... | |
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