 | Mathematics - 1860 - 294 pages
...The sum of the radii of the inscribed cirele and of the cirele touching the hypothenuse and extension of the two legs of a right triangle is equal to the oum of the said legs. Find C and C', the centres of the two circles, by bisecting the angles including... | |
 | George Albert Wentworth, George Anthony Hill - Arithmetic - 1887 - 448 pages
...angles is equal to 30°, the opposite side is equal to half the hypotenuse. The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, 21? + TH? = 'AC1. If one of the legs, as AB, be taken for the base, then... | |
 | George Albert Wentworth - Algebra - 1892 - 312 pages
...is equal to 30°, the opposite side is equal to half the hypotenuse. AB The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, If one of the legs, as AB, be taken for the base, then the other leg .6(7... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...between the hypotenuse and the segment adjacent to the leg. 232. Theorem. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. 233. Theorem. If two chords intersect, the product of the two parts of one is equal to the product... | |
 | George Albert Wentworth - 1894 - 318 pages
...is equal to 30°, the opposite side is equal to half the hypotenuse. AB The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, If one of the legs, as AB, be taken for the base, then the other leg BC will... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...either extremity of the diameter is a mean proportional between the diameter and the adjacent segment. 338. The sum of the squares of the two legs of a right...triangle is equal to the square of the hypotenuse. 339. Cor. The square of either leg of a right triangle is equal to the difference of the squares of... | |
 | Joseph Johnston Hardy - Geometry, Analytic - 1897 - 398 pages
...triangles have their sides respectively parallel, or respectively perpendicular, they are similar. 26. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 27. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse... | |
 | George Albert Wentworth, George Anthony Hill - Arithmetic - 1897 - 476 pages
...is equal to 30°, the opposite side is equal to half the hypotenuse. Q \ The sum of the squares upon the two legs of a right triangle is equal to the square upon the hypotenuse ; or, If one of the legs, as AB, be taken for the base, then the other leg BC will... | |
 | George Albert Wentworth, George Anthony Hill - Physics - 1898 - 456 pages
...equal, if they have equal hypotenuses and one pair of equal legs. 4. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. In the figure, a and 6 are the legs, c is the hypotenuse, and a2 + b'i — c2. A 6 C 5. Two triangles... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...the diameter and the adjacent segment. BOOK IIL PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 371. The sum of the squares of the two legs of a right triangle...Let ABC be a right triangle with its right angle at C. To prove that ~AC* + ~CJ? = AB*. Proof. Draw CF _L to AB. Then ~AC* = AB X AF, and CB = AB X BF.... | |
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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. 
