 | International Correspondence Schools - Coal mines and mining - 1900 - 720 pages
...of a right angle. 714. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 38, is a right-angled triangle, rightangled at B, then the square described upon the hypotenuse... | |
 | Aaron Schuyler - Ethics - 1902 - 472 pages
...employed in cases where it is little suspected. The mathematician proves that the square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other sides by drawing a particular right triangle, constructing squares on the three sides,... | |
 | International Correspondence Schools - Arithmetic - 1902 - 794 pages
...AD = ^r^ = 10j. Ans. lo 58. In any right triangle, the square described on the hypotenuse is equal to the sum ' of the squares described upon the other two sides. If ABC, Fig. 28, is a right triangle right-angled at />', then the square described upon the hypotenuse... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...mean proportional between the segments of the hypothenuse, THEOREM UC. 185. The square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other sides. Let ABC be a right triangle. To prove that A~Bf + BC* = AC*. Draw BD perpendicular to A C. Now... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...diagonals into four triangles of equal area. THEOREM X 193. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, and let squares ACDX, BCRF, and ABLK be described... | |
 | Education - 1903 - 712 pages
...and AC respectively. Then, since the square described upon the hypotenuse of a righttriangle is equal to the sum of the squares described upon the other two sides, we have, area sqr. BN + area sqr. AG=4i*=l68l sqr. feet. (n) 961 Take PC and CS, each equal to BC,... | |
 | International Correspondence Schools - Arithmetic - 1904 - 656 pages
...— £— = 10*. Ans. 18 58. In any right triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 28, is a right triangle right-angled at B, then the square described upon the hypotenuse... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...homologous lines. BOOK IV. PLANE GEOMETRY. PROPOSITION X. THEOREM. 415. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two legs. Let BE, CH, AF be squares on the three sides of the right triangle ABC. To prove that... | |
 | George Clinton Shutts - 1905 - 260 pages
...PROPOSITION X. 341. Theorem. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. Let ABC represent a right triangle whose hypotenuse is AC, AE the square upon the hypotenuse, and BS... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...times as large. Five times as large. 194 195 391. THEOREM. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the legs. Given : (?). To Prove: (?). Proof : Draw CL -L to AB, meeting AB at K and ED at L. Draw BF and... | |
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The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
