| Alpheus Crosby - Geometry, Plane - 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 - 268 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 - 1893 - 362 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 - 416 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... | |
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