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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 - Σελίδα xiii
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Mathematical Vistas: From a Room with Many Windows

Peter Hilton, Derek Holton, Jean Pedersen - 2002 - 358 σελίδες
...Pythagoras and his followers discovered was considered the property of the community. 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. That is, h2 = a2 + b2. One important thing to note here is that...
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Edexcel GCSE Modular Mathematics Examples and Practice: Intermediate stage 2

2002 - 166 σελίδες
...(d) angle BDC B C (b) AC (e) angle ADB (c) AB Summary of key points 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. ,2 or i + b2=r Pythagoras' theorem states that in any right-angled...
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Geometry: Our Cultural Heritage

Audun Holme - 2002 - 408 σελίδες
...to Euclid. 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. The parenthesis is tacitly assumed in the Elements. The last proposition of Book I is I.48, which is...
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Revise HSC Mathematics in a Month

Lyn Baker - 2004 - 140 σελίδες
...A regular polygon has all its sides equal and all its angles equal. О Pythagoras' theorem: In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. If the sides of a triangle, (a, b, c) are such that c2 = a2...
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Studying at University: How to be a Successful Student

David McIlroy - 2003 - 286 σελίδες
...useful if you can work your way through examples. For example, Pythagorean theorem states that, in any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. If you are hearing that for the first time it may amount to...
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The Changing Shape of Geometry: Celebrating a Century of Geometry and ...

Chris Pritchard - 2003 - 572 σελίδες
...Theorems Group A: Greek Geometry Al Pythagoras' Theorem CHRIS DENLEY'S CHOICE Pythagoras' Theorem: In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides: or a2 = b2 + c2. In my early days as a mathematics teacher,...
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Science for Engineering

John Bird - 2003 - 381 σελίδες
...opposite the right angle (ie side b) is called the hypotenuse. The theorem of Pythagoras states: Tn any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.' Hence b2 = a2 + c2 Fig. 10.1 Problem 1. In Fig. 10.2, find...
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BTEC National Mathematics for Technicians Third Edition

G. W. Taylor, Alex Greer, Alan Fuller - 2014 - 260 σελίδες
...hypotenuse is the longest side and always lies opposite to the right-angle. Pythagoras' theorem states: In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides A right-angled triangle is shown in Fig. 12.1 with the squares...
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Excel HSC Mathematics

Lyn Baker - 2001 - 316 σελίδες
...15x21 PR = 9 = 35 cm TR = PR - PT = 35-21 = 14cm PR = 35 cm and TR = 14 cm. Pythagoras' Theorem In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. A В 2 . u2 If the sides of a triangle are such that c = a +...
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New Maths in Action: S3, Τόμος 2

Robin Howat, Graham Meikle, Doug Brown, Ruth Murray, Ken Nisbet - 2004 - 278 σελίδες
...Area C Q z = b 2 + c 2 This is what Pythagoras proved and it is known as Pythagoras' theorem In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the two shorter sides. Exercise 2.1 1 Name the hypotenuse in each right-angled triangle....
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