 Put another way, if you construct squares on the edges of a right-angled triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides.  Business Arithmetic - Page 134by George Washington Miner, Fayette Herbert Elwell, Frank Charles Touton - 1923 - 410 pagesFull view - About this book
 | Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...equal to the area PAC. Proposition 47. 145. In a right-angled triangle the area of the square described on the hypotenuse is equal to the sum of the areas of the squares described upon the other two sides of the triangle. Let ABC represent a triangle in which the angle... | |
 | William Taylor Campbell - Geometry - 1899 - 276 pages
...cm. (or 1j in. and 3 in.) long. The connection between the area of the square on the hypotenuse and the sum of the areas of the squares on the other two sides is the same in any right triangle as in the case of the two which you have just drawn, and is... | |
 | 1902 - 482 pages
...a right-angled triangle, and show that the area of the square on the side opposite the right angle is equal to the sum of the areas of the squares on the other two sides. 9. Find area of the curved surface of a cylinder by wrapping paper round it. 10. Find volume... | |
 | Jacob William Albert Young - 1905 - 264 pages
...area of the square drawn on the hypotenuse? 7. Compare the area of the square on the hypotenuse with the sum of the areas of the squares on the other two sides. Pig. 2. 8. Construct a right-angled triangle having a hypotenuse 10 in. and one side 6 in. Find... | |
 | Jacob William Albert Young - Arithmetic - 1905 - 266 pages
...area of the square drawn on the hypotenuse? 7. Compare the area of the square on the hypotenuse with the sum of the areas of the squares on the other two sides. Fig. 2. 8. Construct a right-angled triangle having a hypotenuse 10 in. and one side 6 in. Find... | |
 | W. T. Clough - Chemistry - 1907 - 204 pages
...triangles on equal bases and between the same parallels are equal. Expt. 89 In a right.angled triangle the area of the square on the hypotenuse is equal...the sum of the areas of the squares on the other two sides. Test this statement by drawing the figures on squared paper, and then counting the small squares.... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...described on the other two sides. Given : A right.angled A ABC. To Prove: That the area of the square on AB is equal to the sum of the areas of the squares on AC and CB. Proof: Construct the squares ABED, BCGF, and ACHI on AB, CB, and AC respectively. Draw CJ... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Arithmetic - 1909 - 292 pages
...of the square drawn on the longest side? 4. Compare the area of the square on the longest side with the sum of the areas of the squares on the other two sides. 195. In any right triangle the square on the hypotenuse is equal to the sum of the squares on... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1912 - 208 pages
...this would read This can be illustrated by drawing squares on each side, as in Fig. 29, and noting that the area of the square on the hypotenuse is equal to the sum of the areas of the other two. In using this rule, however, we do not care anything about these areas and seldom... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1912 - 210 pages
...this would read This can be illustrated by drawing squares on each side, as in Fig. 29, and noting that the area of the square on the hypotenuse is equal to the sum of the areas of the other two. In using this rule, however, we do not care anything about these areas and seldom... | |
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