 In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.  First Year Algebra - Page 256by Webster Wells, Walter Wilson Hart - 1912 - 327 pagesFull view - About this book
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...side as the hypotenuse is to the segment of the hypotenuse adjacent to that side. § 438. Theorem. The square of the hypotenuse equals the sum of the squares of the two sides. § 439. Theorem. A perpendicular drawn to a diameter from any point on the circle is... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...the hypotenuse adjacent to that side; that is, c2 : a2 = c : a', and c2 : 62 = c : b'. 438. Theorem. The square of the hypotenuse equals the sum of the squares of the two sides. Proof. In each proportion of § 435, take the product of the means equal to the product... | |
 | William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1919 - 328 pages
...chords from the point in the circumference to the ends of the diameter. § 142. THEOREM IV. In any right triangle, the square of the hypotenuse equals the sum of the squares of the two sides. FIG. 164. In the given right triangle, the altitude is drawn upon the hypotenuse ; m... | |
 | Webster Wells, Walter Wilson Hart - Arithmetic - 1919 - 440 pages
...the length of the hypotenuse. 2. .-. A» = 72 + 92 = 49 + 81 = 133. 3. .-. A = Viao = 11.4+. Since the square of the hypotenuse equals the sum of the squares of the other two sides, then the square of one of the sides must equal the square of the hypotenuse minus... | |
 | Eugene Henry Barker - Mathematics - 1920 - 264 pages
...parallelogram is 360 feet and its area is 1 acre, what is its altitude ? Law of the Right Triangle In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. c2 = a2 + b\ or c = Va2 + ft2 a2 = c2 — b2, or a = Vc2 — 62 62 = c2 — a2,... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...x* + 8 a; + 16 = 116. Whence x + 4 = ± V116 = ± 10.77 etc. PLANE GEOMETRY Theorem 11 284. In any right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. C Given the right triangle ABC in which AB is the hypotenuse. To prove that AB2... | |
 | Electronic journals - 1921 - 558 pages
...1. Construct AXi perpendicular to OXi, giving the right triangle OAXi. By the familiar relation that the square of the hypotenuse equals the sum of the squares of the other two sides, we have (AX1)2 = (OA)t — (OXQ2. But OA being taken equal to unity and OXi =... | |
 | Frederick Edmund Sears - Physics - 1922 - 684 pages
...parallelogram is the resultant of the two forces represented by AC and AB, and AT is their equilibrant. In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. Therefore (AD)t = (AC)t+(DC)1 Fia. 139 a. The magnitude of the resultant of the... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...angle equals the product of the whole hypotenuse and the segment adjacent to that side. 284. In any right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. 292. If from a point without a circle a secant terminating in the circle and a... | |
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