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" ... is equal to the square root of the difference of the squares of the hypotenuse and the other leg. "
A Complete System of Mensuration of Superficies and Solids, of All Regular ... - Page 19
by Tobias Ostrander - 1834 - 159 pages
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The New American Arithmetic, Part 3

Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...having given the hypotenuse 100 ft., and the base 60 ft. ANALYSIS. — As the perpendicular equals the square root of the difference of the squares of the hypotenuse and base, 1/100*^60*~= i/6400= 80ft., height. 3. A mason desiring to know whether the walls of his building...
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A Common School Arithmetic

Bothwell Graham - Arithmetic - 1895 - 240 pages
...square root of the sum of the squares of the other two sides ; and the base or perpendicular is equal to the square root of the difference of the squares of the hypotenuse and the other side. 7. The base and perpendicular of a right-angled triangle are respectively 8 feet and...
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A Practical Arithmetic

George Albert Wentworth - Arithmetic - 1896 - 490 pages
...root of the sum of the squares of the other two sides ; and the base or the perpendicular is equal to the square root of the difference of the squares of the hypotenuse and the other side. 5. The base of a right triangle is 82 ft., and the perpendicular 35 ft. Find the hypotenuse....
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A Practical Arithmetic

George Albert Wentworth - Arithmetic - 1897 - 396 pages
...root of the sum of the squares of the other two sides ; and the base or the perpendicular is equal to the square root of the difference of the squares of the hypotenuse and the other side. 5. The base of a right triangle is 82 ft., and the perpendicular 35 ft. Find the hypotenuse....
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An Advanced Arithmetic for High Schools, Normal Schools, and Academies

George Albert Wentworth - Arithmetic - 1898 - 424 pages
...equal to the square root of the sum of the squares of the other two sides; and either leg is equal to the square root of the difference of the squares of the hypotenuse and the other leg. 577. Examples. Find the area of: 1. A regular hexagon, each side of which is 3 in. SOLUTION....
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An Advanced Arithmetic

George Albert Wentworth - 1898 - 424 pages
...equal to the square root of the sum of the squares of the other two sides ; and either leg is equal to the square root of the difference of the squares of the hypotenuse and the other leg. 577. Examples. Find the area of : 1.- A regular hexagon, each side of which is 3 in....
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An Advanced Arithmetic for High Schools, Normal Schools, and Academies

George Albert Wentworth - Arithmetic - 1898 - 424 pages
...equal to the square root of the sum of the squares of the other two sides ; and either leg is equal to the square root of the difference of the squares of the hypotenuse and the other leg. 577. Examples. Find the area of : 1. A regular hexagon, each side of which is 3 in....
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Graded Work in Arithmetic, Book 9

Samuel Wesley Baird - Arithmetic - 1901 - 388 pages
...the difference of the squares of the hypotenuse and the perpendicular ; and the perpendicular equals the square root of the difference of the squares of the hypotenuse and the base. / PROBLEMS 680. 1. The base of a right-angled triangle is 32, and the perpendicular 60. Find...
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Graded Mental Arithmetic: Arranged for Use in the Public Schools from Third ...

Frank J. Browne - Mental arithmetic - 1902 - 186 pages
...square root of the sum of the squares of the other two sides. To find the base or perpendicular, take the square root of the difference of the squares of the hypotenuse and the other side. 1. The two sides of a right-angled triangle are 3 and 4 feet. What is the length of...
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Walton and Holmes's Arithmetics: 1st Book-, Book 4

George Augustus Walton, Stanley Harry Holmes - Arithmetic - 1909 - 316 pages
...squares upon the perpendicular AB with the difference in number of those upon AQ and BC. Therefore, The square root of the difference of the squares of the hypotenuse and the other side will give the base or the perpendicular. Written Exercise 277. Illustrative Example....
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