 | Alpheus Crosby - Geometry - 1847 - 190 pages
...BC sw CE ; and then, CN sw CK sw AH. But, BEswBN + CN? .-. BE sw 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... | |
 | 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 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 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 - 360 pages
...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- j; ] i pressed... | |
 | George Washington Hull - Arithmetic - 1895 - 404 pages
...may be taken as the Base, and the other side as the Perpendicular. It is proved in Geometry that— In any right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Hence the square of either side equak the square of the hypotenuse... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...proportional between the diameter and the segment adjacent to that chord. PROPOSITION XXIII. THEOREM. 266. In any right triangle the square of the hypotenuse is equal to the sum of the squares of the legs. Dem. — Draw CD perpendicular to AB. Then AC5 = AD X AB, And B(? = DBX... | |
 | George Albert Wentworth - Arithmetic - 1898 - 424 pages
...three remainders obtained by subtracting each side separately from the half sum of the sides. 576. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The hypotenuse is, therefore, equal to the square root of the... | |
| |
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 
