 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...circumference of a circle is a mean proportional to the segments into which it cuts the diameter. V THEOREM 14 The square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. * From the vertex of the right angle draw a perpendicular to the opposite side.... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...Determine the necessary substitution by reference to the conclusion. VI THEOREM 12 The square described on the hypotenuse of a right triangle equals the sum of the squares described on the other two sides. Use heavy lines for the sides of the given triangle and light lines... | |
 | Augustus Orloff Thomas - Agricultural mathematics - 1916 - 296 pages
...side a and square it. 7. Measure side b and square it. 8. Measure the hypotenuse (Ji) and square it. The square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. 9. Find the hypotenuse of a right triangle whose sides are 8 in. and 6 in. SOLUTION.... | |
 | Mathematics - 1917 - 284 pages
...Substituting these values in the above equation (I), Area YABT = area C YPD + area PTFE. QED The fact that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs was known thousands of years ago in Egypt, where it was used in laying out the corners... | |
 | Samuel Hamilton - Arithmetic - 1917 - 406 pages
...on the other two sides. Since they are equal, the truth of the proposition is evident. The square on the hypotenuse of a right triangle equals the sum of the squares described on the other two sides. The square root of a number is one of its two equal factors. Thus,... | |
 | Francis Day Curtis - Science - 1918 - 264 pages
...above facts. Students will probably attempt to solve all resultant problems by the rectangle method : " the square of the hypotenuse of a right triangle equals the sum of the squares of the sides," but this method holds only for rectangles. The graph method, however, as explained above,... | |
 | Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...regular polygon of n sides equals straight angles. n (b) Concerning the sides of a right triangle. The square of the hypotenuse of a right triangle equals the sum of the squares on the legs ; the square of either leg equals the difference of the squares on the hypotenuse and the... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...Let h be the altitude upon c. 14. State and prove the converse of the proposition that the square on the hypotenuse of a right triangle equals the sum of the squares of the other two sides. CHAPTER XI SIMILARITY INTRODUCTORY DEFINITION 266. Similar polygons have been... | |
 | Webster Wells, Walter Wilson Hart - Arithmetic - 1919 - 440 pages
...the squares Since the area of a square is the upon the other two sidessquare of its side, Rule. — The square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. Example 1. — The sides of a right triangle are 7 in. and 9 in. respectively.... | |
 | Edson Homer Taylor - Mathematics - 1919 - 272 pages
...These examples illustrate the following important fact known as the Pythagorean theorem. The square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. It is proved in geometry that this theorem is true for all right triangles.... | |
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Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. 
