...sides of a right triangle has been known for many centuries. Pythagoras proved, about 500 B. c., that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. Draw a right triangle, a & c, base 3 inches and altitude 4 Inches....

...of the sides of the right-angled triangle. The machinist should know how to apply the rule that: " The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides." The aim of this lesson is to show some applications of the above...

...A statement which is to be proved is called a theorem. For example, it is stated in arithmetic that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. This statement is one of the most important theorems of geometry....

...altitude \ ifh are given. Sixth Month. CONSTRUCTION — Teach by actual drawing and paper cutting that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides. Apply in numerous problems. Memorize V 2 ;= 1.414 and V3= 1.732...

...Theorem2 gives us the means of doing 1 See Appendix B for statement of these rules, with exercises. 2 " The square on the hypotenuse of a right triangle is equal to the sum of the squares on the two legs." This very important theorem was discovered by the famous Greek philosopher...

...square on AC + the area of the square on BC. 16. Write the formula for the statement : The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two legs. This statement is known as the Theorem of Pythagoras. The formula is :...

...sides of a triangle is parallel to the third side. Compare § 184. Prove by the methods of Book III. 2. The square on the hypotenuse of a right triangle is equal to four times the square on the median to the hypotenuse. 3. A segment bisecting the two bases of a D...

...sides of a triangle is parallel to the third side. Compare § 184. Prove by the methods of Book III. 2. The square on the hypotenuse of a right triangle is equal to four times the square on the median to the hypotenuse. 3. A segment bisecting the two bases of a trapezoid...

...125000 7.071 3.684 100 10000 1000000 10.000 4.642 Exercise. Square Root 1. Recalling the fact that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the two sides, find the hypotenuse of a right triangle whose sides are 51 in. and 68...

...4.514 4.531 4.547 4.563 4.579 4.595 4.610 4.626 4.642 Exercise. Square Root 1. Recalling the fact that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the two sides, find the hypotenuse of a right triangle whose sides are 51 in. and 68...