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" In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6. "
A Shorter Geometry - Page xiii
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Tables, Data and Formulae for Engineers and Mathematicians

Mathematics - 1989 - 108 pages
...triangle (all sides and all angles equal) The sum of the angles of a triangle equals 180° Pythagoras' In a right-angled triangle the square on the hypotenuse is equal to the sum of theorem the squares on the other two sides. 190 (The hypotenuse lies opposite to the right-angle)...
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Mathematical Thought from Ancient to Modern Times: Volume 1

Morris Kline - Mathematics - 1990 - 434 pages
...Proposition 47. In right.angled triangles the square on the side subtending the right angle is equal to the sum of the squares on the sides containing the right angle. This is of course the Pythagorean theorem. The proof is made by means of areas, as in many high school...
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ST(P) Mathematics 5A Second Edition, Volume 5

L. Bostock, F. S. Chandler, A. Shepherd, Ewart Smith - 1993 - 516 pages
...interior angles is 180' an exterior angle is equal to the sum of the interior opposite angles. x+y In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. = x-+y For any polygon, the sum of the exterior angles is 360°....
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Applied Typing and Information Processing

Archie Drummond, Anne Coles-Mogford - Business & Economics - 1994 - 232 pages
...£378 Simplify: - * - * * H - 1 2 Type the following exercise on a sheet of A5 landscape paper. In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other 2 sides. Hypotenuse = v perpendicular2 + base2 H = /p2 * b2 Footnotes and...
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Episodes from the Early History of Mathematics, Volume 13

Asger Aaboe - History - 1963 - 154 pages
...right-angled triangles the square on the side subtending the right angle (ie the hypotenuse^) is equal to (the sum of) the squares on the sides containing the right angle. Euclid's proof is as follows: On the three sides of a right triangle ABC (<£C = 90°) squares are...
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Nelson Caribbean Mathematics 2, Book 2

Marlene Folkes, Mary Maxwell - Juvenile Nonfiction - 2014 - 244 pages
...The results from triangles 1,2,3, and 4 above is called Pythagoras' Theorem. This theorem states that in a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. A corollary to this theorem states that if the square on the...
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STP National Curriculum Mathematics, Volume 11, Part 1

L. Bostock - Mathematics - 1998 - 420 pages
...by a different irrational number the result is a rational number. 7 Pythagoras' theorem states that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. This can be illustrated by drawing squares on the sides of a...
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Maths Matters, Level 4, Module 2, Part 2, Part 3

Competency-based education - 1999 - 116 pages
...Pythagoreans in Module 1 Unit 2. His name has been given to the mathematical theorem which states that: In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. 7. Look at the following diagram. Write down what it shows....
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GCSE Intermediate Maths

Janet Crawshaw, Paul Langley - Education - 1998 - 598 pages
...what it is 1 7 and 20. Pythagoras' Rule and Trigonometry \lf\ Know and be able to use Pythagoras' rule 'In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides' To find the hypotenuse: To find a shorter side: a1 = b2 + c2...
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Mechanics for Engineering

Howard Fawkes - Mechanics, Applied - 1999 - 418 pages
...way to find the magnitude of the resultant is to use the Pythagoras theorem. The Pythagoras theorem: In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Did you know? The earliest known proof of Pythagoras' theorem...
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