...computed. How much did the farmer receive for the land ? Ans. $361.57. PLANE GEOMETRY 366. THEOREM. The square on the hypotenuse of a right triangle is equal to the sum of the squares on the legs. F HN FIG. 108. Given the rt. triangle ABC, with C the right angle. To prove...

...is equal to the square on the hypotenuse. HISTORICAL NOTE The Pythagorean Theorem. The theorem that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides was discovered by Pythagoras and is usually called the Theorem of...

...of notebooks. The more interesting constructions made in plane geometry, such as that showing that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides, and that showing that if three circles are tangent externally at...

...triangle is one of most useful rules known in the calculation of distances. The rule states that: " the square on the hypotenuse of a right triangle is equal to the sum of the squares on the -ither two sides." If squares are drawn on the three sides of the right triangle...

...two sides of the triangle the same as you have found in the other triangle ? 6. The square described on the hypotenuse of a right triangle is equal to the sum of the squares described on the other two sides. 7. The square described upon either the base or the altitude...

...will be 50.92" long. The length 177 I78 of the brace can also be obtained by geometry. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In Ocfogon Jca/e. FIG. 152. — STEEL SQUARE. this case the two...

...the major premise of such an argument is the expression of an emotion. If we argue that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, we have pure reasoning, free from emotion; but when we take up...

...Pythagorean Theorem given in Proposition XIV of Book III. PROPOSITION. VIII. THEOREM 340. The square upon the hypotenuse of a right triangle is equal to the sum of the squares upon the two legs of the triangle. Hypothesis. ZC of A ABC is a right angle. ABEF, ACGH,...

...numbers of little squares in the first two cases ? In this right triangle 5 2 = 3 2 + 4 2 . The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. Note the length of the hypotenuse by h and the lengths of the two...

...the major premise of such an argument is the expression of an emotion. If we argue that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, we have pure reasoning, free from emotion ; hut when we take up...