...distance of 14 rods, on a level with its base ; what distance in yards did he shoot ? Ans 81.15+yards. As the square of the hypotenuse equals the sum of the squares of the two sides, it is evident, that the square of one of the two sides, is equal to the square of the...

...of 14 rods, on a level with its base ; what distance in yards did he shoot ? Asn? ' '' -(-yards. As the square of the hypotenuse equals the sum of the squares of the two sides, it is evident, that the square of one- of the two sides, is equal to the square of the...

...the solution of a quadratic equation ; it extends also to a much wider application the fertile truth, that the square of the hypotenuse equals the sum of the squares of the sides of a right-angled triangle ; and it supplies the easiest and most certain rules by which...

...notice that 6 s + 8 2 = 10", and in Geometry this is found true of all right, angled triangles; viz., The Square of the hypotenuse equals the sum of the squares of the other sides. 9. If the base and perpendicular of a right-angled triangle are respectively 14 and 24, what is the...

...right-angled triangle is 6 feet and the height 5 feet: what is the hypotenuse ? NOTE.—It lias been shown that the square of the hypotenuse equals the sum of the squares of the other two sides; the difference between the square of the hypotenuse and the square of one of the...

...•whose radius is r. The reader may see this from the principle of geometry that " in a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides." So, the locus of the equation yi=px is a parabola whose axis is the axis of a/,...

...OA = 1. Construct AXi perpendicular to OXi, giving the right triangle OAX\. By the familiar relation that the square of the hypotenuse equals the sum of the squares of the other two sides, we have (A Xtf = (OA)2 - (QZi)2. But OA being taken equal to unity and 0-X\ =...

...3.1416 ? 20. What is meant by saying that the specific gravity of cork is 0.240? 21. Show by a drawing that the " square of the hypotenuse equals the sum of the squares of the two short sides of a right triangle." 375. — 1. If 38 1 bushels of turnips cost $28|, what will...

...substituting the values of a, 6, and c in place of these letters, we have 9 + 16 = 25. b Fia. 1. Fia. 2. 3. The square of the hypotenuse equals the sum of the squares of the two legs. Therefore, to find the hypotenuse, extract the square root of the sum of the squares...

...— The lesson had for its purpose the development of the principle that, in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. The teacher had prepared a diagram showing a right-angled triangle with squares...