 | Alpheus Crosby - Geometry - 1847 - 190 pages
...•xx BC tn CE ; and then, CN as CK s» AH. But, BEswBN + CN? .-. BE *» AF + AH? § 188. THEOR. III. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. [Proved by dividing the square of the hypotenuse into two rectangles,... | |
 | George Anthony Hill - Geometry - 1880 - 332 pages
...may be found by dividing it into triangles (two ways) or into triangles and trape2oids. 16. In every right triangle the square of the hypotenuse is equal to the sum of the squares of the two legs. (Two proofs.) 17. The perpendicular let fall from the vertex of the... | |
 | 1903 - 638 pages
...equal to the product of the two parts of the other. 5. Give the proof for the area of a circle. 7. In a right triangle the square of the hypotenuse is equal to what? Give proof. 8. Show how to inscribe a regular hexagon in a. circle. Proof is required. UNITED... | |
 | George Albert Wentworth - 1884 - 264 pages
...proportional between the diameter and the projection of the chord upon the diameter. 161. Theorem. In a right triangle the square of the hypotenuse is equal to the sum of the squares of the two legs. 162. Theorem In a triangle the square of a sid.e opposite an acute... | |
 | George Anthony Hill - Geometry - 1888 - 200 pages
...sector, if the radius = 10 in. and the angle at the centre = 18°. Lesson 66. 1. Theorem. — In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs. HYPOTHESIS. Let ABC be a right triangle, and let Z ACS = 90°. CONCLUSION.... | |
 | George Anthony Hill - Geometry - 1888 - 202 pages
...circle that its angle is of 360°. LESSONS IN GEOMETRY. E Fio. 133. Lesson 66. 1. Theorem. — In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs. HYPOTHESIS. Let ABC be a right triangle, and let Z ACB = 90°. CONCLUSION.... | |
 | George Albert Wentworth - 1889 - 264 pages
...proportional between the diameter and the projection of the chord upon the diameter. 161. Theorem. In a right triangle the square of the hypotenuse is equal to the sum of the squares of the two legs. 162. Theorem In a triangle the square of a side opposite an acute angle... | |
 | George Albert Wentworth - 1889 - 276 pages
...proportional between the diameter and the projection of the chord upon the diameter. 161. Theorem. In a right triangle the square of the hypotenuse is equal to the sum of the squares of the two legs. 162. Theorem In a triangle the square of a side opposite an acute angle... | |
 | Webster Wells - Arithmetic - 1893 - 390 pages
...rd. 1 yd. 1£ ft. long. How much is it worth at $ 484 an acre ? 227. It is proved in Geometry that In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Note. This means that, if the sides are all ex- jr pressed in... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...proportional between the whole diameter and the adjacent segment. PROPOSITION XXVII. THEOREM. 273. In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. D Let AB be the hypotenuse of the right triangle ABC. To prove AB* = AC*... | |
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In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 
