...the hypothenuse, and the angle at B is a right angle. Base. ART. 272. In every right angled triangle the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, as shown by the following diagram. It will be seen by examining...

...When two sides of a right-angled triangle are given, the third may be found by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence h = Ъ = —p = ^h' — b* Ex. 1. If the base is 2720, and the...

...When two sides of a right-angled triangle are given, the third may be found by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides. ,, Hence, representing the hypothenuse, base, and perpendicular by...

...the third. This case may be solved by means of the known property of a right angled triangle, viz. the square of the hypothenuse is equal to the sum of the squares of the two sides. It may, moreover, be solved with facility by means of the two propositions,...

...third side can be found by means of the following theorem. It is an established theorem of geometry, that the square of the hypothenuse is equal to the sum of the SQUARES of the ntlier two sides. Therefore, the square of one of the sides is equal to tlie square...

...square AFGC cut so that the two will exactly coincide with BDEA, or, in other words, — FORMULA. — The square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence — To find the hypothenuse of a right-angled triangle, RULE....

...most celebrated schools of antiquity. He is said to have discovered that in a right-angled triangle the square of the hypothenuse is equal to the sum of the squares on the two legs. He discovered that the circle has a greater area than any other plane figure...

...the other two ; for the three figures are to each other as the squares of their homologous sides. But the square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence the similar figure described on the hypothenuse is equal to the...

...yds. ? (3) What is the length of a square field containing an acre ? (4) In any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides : find the area of a square field whose diagonal (ie a, straight line...

...sweetest strains, and here Pythagoras learned from the Egyptian priests—" in the land of Ham" the fact that "the square of the hypothenuse is equal to the sum of the squares of the two other sides." ' Here, too, in later times were built the cities of Alexandria and...