Pythagorean Theorem Essay Example | Topics and Well Written Essays - 750 words

Pythagorean Theorem - Essay ExampleThe sector of the square built upon the hypotenuse of a accountability trigon is equal to the sum of the areas of the squares upon the remaining sides (Audy & Morosini, 2007). Hence, the Pythagorean Theorem can be used to find out the length of the side of a right locomote triangle when the lengths of the two other sides are known. The theorem has a range of real life applications. For instance, it can be used to measure the distance between two cities in a map, height of an object from the length of its shadow, the length of the diagonal of a rectangle and for many other purposes. The longest side of a triangle is called hypotenuse, while the remaining two sides are called the legs of the triangle. The algebraic expression of the Pythagorean Theorem can be written as followsAs Sonnenberg, Wittenberg, Ferrucci, Mueller and Simeone (1981) point out, the Pythagorean Theorem is cooperative to calculate the unknown length of a side of a right angle d triangle, if the lengths of the other two sides are known. Similarly, in a right angled triangle, the length of the hypotenuse is greater than other two sides, but less than the sum of their lengths.The above figure contains four copies of a right angled triangle having sides a, b, and c which are arranged in a square having side c. Hence, each triangle has an area of ab whereas the small square has a side b-a and an area (b a) 2. Hence, the area of the large square becomes,It has been proved that the converse of this theorem is also true. Hence, for any triangle with sides a, b, and c and a2 + b2 = c2, the angle between the legs a and b will be a right angle (90o) (cited in Serra, 1994).In total, Pythagorean Theorem is one of the fundamental theorems of mathematics. The theorem has a range of proofs and its converse is also true. Above all, it has a replete(p) range of applications in the real life.Sonnenberg, E. V., Wittenberg, J., Ferrucci, J. T., Mueller, P. R. & Simeone, J. F. (1981).