 | Education - 1911 - 946 pages
...adjacent segment in or H; that is, a* = cm ; b1 - en. [P9.] 4. The sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse; a= -L b: = c-. [P10.] ( It should lie noticed that the proposition cnn be proved either algebraically... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...x BD, and AC2 = BC x DC. § 365 Adding, AB2 + AC2 = BC (BD + DC) Ax. 1 = BC2. QED 370 COROLLARY 1. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse and the other leg. 371 COROLLARY 2. The side and the diagonal... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...X BD, and AC2 = BC x DC. § 365 Adding, AB2 + AC2 = BC (BD + DC) Ax. 1 = BC2. QED 370 COROLLARY 1. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse and the other leg. 371 COROLLARY 2. The side and the diagonal... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...If, in 342, AB = 20, AC = 6, find /IP, HP, CP, and 343. THEOREM. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Given : Rt. A ABC. To Prove : A(? + B<? = AB2. Proof : Draw CP J. to the hypotenuse AB. Thenlc2 = AB... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...342, AB = 20, AC = 6, find ^4P, £P, CP, and £C. 343. THEOREM. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Given : Rt. A ABC. To Prove : AG? + Be? = Ai?. Proof : Draw CP J- to the hypotenuse AB. Then ZC2 =... | |
 | Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...323, 3. In similar figures homologous sides are proportional. 343. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. 344. The square of either leg of a right triangle is equal to the square of the hypotenuse minus the... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...BC at the point C. § 252 Then or Whence (AB + BC) x (AB - BC) = AC . - BC2 = AC2, or 392. COB. 1. The square of either leg of a right triangle is equal to the difference of the square of the hypotenuse and the square of the other leg. 393. Con. 2. The diagonal... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...3. §443, II. 4. §54,2. + 6 2 = c . c = c 2 . QED 5. §309. 447. Cor. I. The square of either side of a right- triangle is equal to the square of the hypotenuse minus thf square of the other side. 448. Cor. n. The diagonal of a square is equal to its side multiplied... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...square of the x hypotenuse of a right triangle is equal to the sum of the squares of the two legs. 392. The square of either leg of a right triangle is equal to the difference of the square of the hypotenuse and the square of the other leg. 420. The area of a parallelogram... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...Similarly a* = q . c. Rv adding o s +6 s =c(p-|-9), or o s +6* = e*. QKD 387. COR. The square of either arm of a right triangle is equal to the square of the hypotenuse, diminished by the square of the other arm. Kx. 982. Find the hypotenuse of a rig&t triangle whose arms... | |
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The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 
