 The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.  Observational Geometry - Page 52by William Taylor Campbell - 1899 - 240 pagesFull view - About this book
 | Bruce Mervellon Watson, Charles Edward White - Arithmetic - 1908 - 432 pages
...the legs? In triangle DBF? In triangle KLM1 E r M 564. By geometry it is proved that The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two legs. The truth of this proposition may be shown in many ways, one of which... | |
 | William Francis Rocheleau - Correspondence schools and courses - 1909 - 430 pages
...were obtained. For instance, it would be absurd to withhold from the boy in arithmetic the law that "the square on the hypotenuse of a right triangle is equal to the sum of squares on the other two sides," until he becomes able to derive the law from his own reasoning. However,... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...perpendicular is a mean proportional between the segments of the diameter. 2. The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg... | |
 | John Charles Stone, James Franklin Millis - Arithmetic - 1910 - 440 pages
...proved about 500 BC that the fact that we find true here is true for any right triangle, viz. that The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. 5. Carpenters make use of this fact in laying out the foundation... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...alone, but in the proof of the formula, the following theorem is needed: PROPOSITION III 235. Theorem: The square on the hypotenuse of a right triangle is equal to the sum of the squares on the sides including the right angle. Conclusion: 5 =5, +5,. Proof: Draw CD_AB, dividing... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...line through a given point in one of its sides. BOOK IV. PLANE GEOMETRY. PROPOSITION X. THEOREM. 439. The square on the hypotenuse of a right triangle is equal to the sum of the squares on the two legs. Given AH, AD, and CF, squares on the hypotenuse AB, and the legs AC and... | |
 | John William McClymonds, David Rhys Jones - Arithmetic - 1910 - 336 pages
...hypotenuse with the number of units in the sum of the squares upon the other two sides. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Answer the following from the figure: 5. If the number of squares... | |
 | DeForest A. Preston, Edward Lawrence Stevens - Arithmetic - 1910 - 380 pages
...right-angle triangle the side opposite the right angle is called the hypotenuse. 385. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In the triangle shown, at the left, Therefore, x = Vo 1 + 6 2 .... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...obvious in geometry, become easily so when the homologous theorems in algebra are considered. Ex. 385. The square on the hypotenuse of a right triangle is equal to four times the area of the triangle plus the square on the difference of the legs. Prove algebraically.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...* rhombus are 14 and 10 inches respectively. Find the length of its sides. (See ยง 147, Ex. 4.) 7. The square on the hypotenuse of a right triangle is equal to four times the square on the median to the hypotenuse. 8. What is the radius of a circle if a chord... | |
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