| Dame Kathleen Ollerenshaw - Biography & Autobiography - 2004 - 269 pages
...statement is self-evident: it is however a deep and important truth. We all know Pythagoras's theorem **that 'in any right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the other two sides'. Namely, if the two shortest sides of a right-angled triangle... | |
| Doug Brown, Ken Nisbet - Mathematics - 2004 - 272 pages
...Area B + 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.... | |
| Lyn Baker - Higher School Certificate Examination (N.S.W.) - 2001 - 288 pages
...~ 9 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 +... | |
| Mathematics - 2002 - 104 pages
...rectangle. The 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... | |
| Alex Greer, Graham Taylor, Alan Fuller - Juvenile Nonfiction - 2014 - 256 pages
...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... | |
| Lyn Baker - Mathematics - 2005 - 158 pages
...side of the 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... | |
| Ajit Kalra, James Stamell - Mathematics - 2005 - 574 pages
...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 +... | |
| R. Lionel Fanthorpe, Patricia Fanthorpe, P. A. Fanthorpe - History - 2006 - 296 pages
...world. The 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... | |
| University of St. Andrews - 1891
...length, but its angles vary : show that as an angle increases the diagonal through it diminishes. 2. **In any right-angled triangle the square on the hypotenuse is equal to the** squares on the other two sides. From any point P, perpendiculars PI), PE, and PF are drawn to the sides... | |
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