...it must be interpreted as in §329. (a) The Pythagorean proposition is often stated: The square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. It is frequently expressed as an algebraic equation, thus: A~C 2 = A~B 2 +"B~C...

...the squares on the other two sides. Since they are equal, the truth of the proposition is evident. The square on the hypotenuse of a right triangle equals the sum of the squares described on the other two sides. Written Work l. Find the hypotenuse of this right triangle. Hypotenuse*...

...how to interpret legal descriptions of locations of farms. (11) That the square on the hypothenuse of a right triangle equals the sum of the squares on the other two sides. (12) Practical uses of similar triangles. 3. In Longitude and Time: (1) Use of longitude...

...sides equals ^^ — - straight angles. n (6) Concerning the sides of a right triangle. The square of the hypotenuse of a right triangle equals the sum of the squares on the legs ; the square of either leg equals the difference of the squares on the hypotenuse and the other...

...triangle ABC meet at F, prove that triangle AFE is similar to triangle BFD. 6. Prove that the square upon the hypotenuse of a right triangle equals the sum of the squares upon the two sides of the triangle. 7. Prove that the area of a triangle equals 4 of the product of...

...of the secant and tangent. Use the algebraic method. 239. It has now been proved in many ways that the square on the hypotenuse of a right triangle equals the sum of the squares on the sides including the right angle. FIG. 266 Imagine the angle ABC (Fig. 267) to increase, leaving the...

...the area compare with that of a rectangle of the same perimeter but 100 ft. wide ? 75. Square Root The square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. Thus in this triangle 92 -f 12" = 15", for 81 + 144 = 225. So if AB and AC are known,...

...stated in arithmetic and algebra are proved in geometry. For example, in geometry it is proved that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides, and that the circumference of a circle equals 3.1416 times the diameter. 4. Solid....

...secant and its external segment. Thus (fig. 3, under 11), AC _AB ~AB = AD' 20. Pythagorean Prop. — The square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. 21. One side of a regular hexagon inscribed in a circle is equal to the radius. 22....

...Theorem. A statement to be proved is called a theorem. For example, it is stated in arithmetic that the square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. This statement is a theorem to be proved in geometry. 49. Problem. A construction...