 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...divided into two equal parts ? Ans. 1 : (V2 - 1). 196. Theorem VI. The Pythagorean Theorem. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides. Fio. 136 1 / / ( / n f 1 1 1 1 1 1 GH Given the rt. A ABC having AB as its hypotenuse.... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...as the squares of any two corresponding lines. 196. Theorem VI. The Pythagorean Theorem. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides. 197. Corollary 1. The square on either side of a right triangle is equivalent to... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...inches. Find the ratio of their areas. 164 165 THEOREM OF PYTHAGORAS 376. Theorem. The square constructed on the hypotenuse of a right triangle is equivalent to the sum of the squares constructed on the other two sides. Given rt.AABC, the hypotenuse c, and the other two sides, a and... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...an equilateral triangle each of whose sides is 2v3 yd. 30. The equilateral triangle constructed upon the hypotenuse of a right triangle is equivalent to the sum 'of the equilateral triangles constructed upon the other sides of the triangle. 31. The area of a rhombus is... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...4. §352, Ax. 1. 5. Ax. 1. 6. § 289, Ax. 1. 7. Ax. 7. QED 7 PROPOSITION X. THEOREM 355, The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Given AD the square on AC the hypotenuse of the rt. A ABU, and BF and BK the... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...similar triangles are to each other as the squares of any two corresponding sides. 355. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 356. The' square on either leg of a right triangle is equivalent to the square... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...other as the products of the sides including the equal angles. § 376. Theorem. The square constructed on the hypotenuse of a right triangle is equivalent to the sum of the squares constructed on the other two sides. § 377. Theorem. The square on either side of a right triangle... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...sides is doubled, how is the area changed? THEOREM OF PYTHAGORAS 376. Theorem. The square constructed on the hypotenuse of a right triangle is equivalent to the sum of the squares constructed on the other two sides. Given rt.AABC, the hypotenuse c, and the other two sides, a and... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...square. 226 THE SQUARE ON THE HYPOTENUSE OP A RIGHT TRIANGLE 261. THEOREM 118. The square constructed on the hypotenuse of a right triangle is equivalent to the sum of the squares constructed on the other two sides. em B FIG. 405 Hypothesis: ABC is a rt. A with ZA = 1 rt. Z. and... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...simply said " Behold ! " \ PLANE GEOMETRY: BOOK IV THE PYTHAGOREAN THEOREM 422. THEOREM VII. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Given the rt. A ABC with squares I, II, and III on the hypotenuse and two sides... | |
| |
The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
