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... is equal to the square root of the difference of the squares of the hypotenuse and the other leg.
The North American Arithmetic: for advanced scholars. Part third - Σελίδα 171
των Frederick Emerson - 1834 - 288 σελίδες
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## The instructor: or, Young man's best companion. To which is added. The ...

...or Breadth of the 16 Ditch. lof 3. If tj!e Height of a Tower or Perpendicular B were required, then the Square Root of the Difference of the Squares of the Hypotenuse and Base is the height of tb« jferpendieular BC, thus: 2500 900 (30 Yards. Number of Mtn being given to...

## The Mercantile Arithmetic, Adapted to the Commerce of the United States, in ...

Michael Walsh - 1828 - 315 σελίδες
...the top of'the wall. Ans. 39,05 feet. The hynoienuse and perpendicular given, to find the base, RCLE The square root of the difference of the squares of the hypotenuse and perpendicular is the length of the base. 13 ' RULE. The square root of the difference of the squares of the hypotenuse...

## The Mercantile Arithmetic, Adapted to the Commerce of the United States, in ...

Michael Walsh - 1828 - 315 σελίδες
...perpendicular is the length of the base. 13 The base and hypotenuse given, to find the perpendicular, RULE. The square root of the difference of the squares of the hypotenuse and base is the height of the perpendicular. NB The two last questions may be varied for examples to the...

## The Mercantile Arithmetic, Adapted to the Commerce of the United States, in ...

Michael Walsh - 1828 - 315 σελίδες
...perpendicular и the length Of the base. The base and hypotenuse given, to find the perpendicular. Rcr.E. Tlie square root of the difference of the squares of the hypotenuse and base is the height of the perpendicular. NB The two last questions may be varied for examples to tlio...

## The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 180 σελίδες
...ROOT of the suit OF TUB SQUARES of the two shortest sides, is the length of the HYPOTENUSE. RULE 2. The SQUARE ROOT of the DIFFERENCE OF THE SQUARES of the HYPOTENUSE and EITHER of the other sides, is the length of the REMAINING side. Applying the rule to example 18, \/4a...

## The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833
...the length of the base. Case 3. The base and hypotenuse being given, to find the perpendicular. RULE. The square root of the difference of the squares of the hypotenuse and base is the height of the perpendicular. (26) The top of a castle from the ground is 45 yards high,...

## A system of practical arithmetic, comprehending numerous rules and examples ...

...is equal to the square root of the sum of the squares of the two sides, and either side is equal to the square root of the difference of the squares of the hypotenuse and other side. (1) Three sides of a triangle are 3, 4, and 5, taking any two of them as given, required...

## A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1833 - 159 σελίδες
...the hypotenuse and either leg of a right-angled triangle are given, to find the other. Rule—Extract the Square root of the difference of the squares of the hypotenuse and given leg, and that will be the length of the other, EXAMPLES. 1. The hypotenuse of a right-angled...

## A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1834 - 159 σελίδες
...hypotenuse and either leg of a right-angled triangle are given, to find the other. Rule — Extract the square root of the difference of the squares of the hypotenuse and given leg, and that will be the length of the other. EXAMPLES. 1. The hypotenuse of a right-angled...

## The Mercantile Arithmetic: Adapted to the Commerece of the United States, in ...

Michael Walsh - 1838 - 327 σελίδες
...perpendicular is the length of the base. The base and hypotenuse given, to find the perpendicular. RULE. The square root of the difference of the squares of the hypotenuse and base is the height of the perpendicular. IV. B. The two last questions may be varied for examples to...