 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 xiΠεριορισμένη προεπισκόπηση - Σχετικά με αυτό το βιβλίο
 | 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.... | |
 | 2002 - 108 σελίδες
...theorem of Pythagoras is used to calculate the length of a side in a right-angled triangle. In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Summary Level F Examplf ! A ABC is nght angled => AC2 = AB2... | |
 | Ajit Kalra, James Stamell - 2005 - 592 σελίδες
...BC|| DE. Giving reasons, prove that x° + z° = 180°. Pythagoras' theorem 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. For this triangle, the theorem can be written as: c2 = a2 +... | |
 | Lyn Baker - 2005 - 168 σελίδες
...triangle opposite the right angle is called the hypotenuse. Pythagoras' 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. Conversely, if the sides of a triangle are such that the square... | |
 | R. Lionel Fanthorpe, Patricia Fanthorpe, P. A. Fanthorpe - 2006 - 296 σελίδες
...theorem by which Pythagoras is best remembered is a:+b*=c2. It can be expressed in words as: in any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Pythagoras's great discovery: o'+b!=c2. Although the theorem... | |
 | Les Evans - 2006 - 178 σελίδες
...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 Using Thales' theorem: BC =... | |
 | 464 σελίδες
...parallels, the area of the triangle is half that of the parallelogram . 127 THE THEOREM OF PYTHAGOKAS 128 THEOREM 5. 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... | |
 | James McMahon - 2018 - 244 σελίδες
...parallelogram . . 185 t See note p. vii. PAGE MISCELLANEOUS EXERCISES ON AREA 186 THE THEOREM OF PYTHAGORAS 187 THEOREM 5. 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 190 Note on " error per cent." 193 Applications... | |
 | 1897 - 988 σελίδες
...numbers. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two opposite sides; he honestly believes it when :he sees it tried a hundred... | |
 | 298 σελίδες
...parallel and equal to AB and in the opposite direction. Join BD. Prove that BD bisects AC. 6. Prove that 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. 7. Prove that equal chords in a circle are... | |
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