 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...V6. Choosing your own unit, construct a line equal to 3V2, 2V3, 5V6. PROPOSITION XXVII. THEOREM 446. In any right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. C B <• D Given rt. A ABC, with its rt. Z at C. To prove a2... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1912 - 208 pages
...its angles (the one at (7) is a right angle, or 90°. The longest side (c) is called the hypotenuse. "In any right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides." Written as a formula this would read This can be illustrated... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1912 - 210 pages
...its angles (the one at C) is a right angle, or 90°. The longest side (c) is called the hypotenuse. "In any right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides." Written as a formula this would read This can be illustrated... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
..., 2. -, cb and = . bq . rt. A ABC, and rt. A ABC. Why ? - = -. Why? u ji bq 445. COROLLARY 1. In a right triangle the square of the hypotenuse is equal to the sum of the squares of the legs. For, from step 2, a2 = cp, and b1 = cq. Why ? .-. a1 + 62 = cp + cq = c... | |
 | Robert Burdette Dale - Arithmetic - 1915 - 260 pages
...square with AC. The reason for the above is that a right triangle is formed. We have learned that in a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. If this is true, then 3 2 +4 2 must be equal to 5 2 , 3 2 +4... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...a given circle. (3) To construct a cube which shall have twice the volume of a given cube. § 196. In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. § 200. If two chords intersect, the product of the segments of one is... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...inches higher than the others. From these facts compute the diameter of the earth. 196. Theorem. — In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Hypothesis. In A ABC, Z (7 is a right angle. The legs are a and b, and... | |
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...to each other and to the given triangle. [224] Relations between the Sides of a Triangle 425. In a right triangle the square of the hypotenuse is equal to the sum of the squares of the sides of the right angle. [233], algebraic proof; [462], geometric proof. 426.... | |
 | Charles Ernest Chadsey, James Hamblin Smith - Arithmetic - 1917 - 326 pages
...two squares on the legs? This relation may then be stated in the following principle: PRINCIPLE: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 1 Exercise 7 1. The two legs of a right triangle are 15 feet... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...angle of one is equal to the vertical angle of the other. PYTHAGOREAN PROPOSITION 350. THEOREM XI. In a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Given the rt. A ABC with sides a, b, c. To prove that a2 4 62... | |
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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. 
