Solution Pythagorean Theorem Equation Relating The Sides Studypool

Solution Pythagorean Theorem Equation Relating The Sides Studypool Initial post instructions one of the most famous formulas in mathematics is the pythagorean theorem. it is based on a right triangle,and states the relationship among the lengths of the sides as a2 b2= c2, where a and b refer to the legs of a right triangle and c refers to the hypotenuse. it has immeasurable uses in engineering, architecture, science, geometry, trigonometry, algebra, and in. Euclidean geometry among the three sides of a righttriangle. it states that the area of the square whoseside is the hypotenuse (the side opposite the right solution: pythagorean theorem studypool.

Pythagorean Theorem Formula Derivation And Solved Examples Pythagorean theorem the pythagorean theorem was named after pythagoras, who was a greek mathematician. according to the theorem, the square of the hypothenuse side is equal to the sum of the squares of the other two sides in a right angled triangle, in which hypothenuse (c) refers to the longest side of the triangle and is opposite to the angle of 90°. Contributed. the pythagorean theorem states that if a triangle has one right angle, then the square of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the two shorter sides, called the legs. so if a a and b b are the lengths of the legs, and c c is the length of the hypotenuse, then a^2 b^2=c^2 a2. Solution. the side opposite the right angle is the side labelled \ (x\). this is the hypotenuse. when applying the pythagorean theorem, this squared is equal to the sum of the other two sides squared. mathematically, this means: \ (6^2 8^2 = x^2\) which is the same as: \ (100 = x^2\) therefore, we can write:. C = 5. answer: the length of the hypotenuse is 5 inches. example 2: find the length of one side of a right triangle if the length of the hypotenuse is 10 inches and the length of the other side is 9 inches. solution: step 1: write down the formula. c2 = a2 b2. step 2: plug in the values. 10 2 = 9 2 b2.