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Pythagorean theoremThe Pythagorean Theorem was named after famous Greek mathematician Pythagoras In any right triangle,  Let c be the length of the longest side, called hypotenuse Let a and b be the length of the other two sides, called legs The theorem states that the length of the hypotenuse squared is equal to the length of side a squared and the length of side b squared Written as an equation, c2 = a2 + b2 Thus, given two sides, the third side can be found using the formula We will illustrate with examples Before proceeding, you should know How to find the square root of a number and how to solve equations using subtraction Exercises #1 Let a = 3 and b = 4. Find c, or the longest side c2 = a2 + b2 c2 = 32 + 42 c2= 9 + 16 c2 = 25 c = √25 The sign (√) means square root c = 5 Exercises #2 Let c = 10 and a = 8. Find b, or the other leg. c2 = a2 + b2 102 = 82 + b2 100 = 64 + b2 100 - 64 = 64 - 64 + b2 (minus 64 from both sides to isolate b2 ) 36 = 0 + b2 36 = b2 b = √36 = 6 Let c = 13 and b = 5. Find a c2 = a 2+ b2 132 = a2 + 52 169 = a2 + 25 169 - 25 = a2 + 25-25 144 = a2 + 0 144 = a2 a = √144 = 12 Buy a comprehensive geometric formulas ebook. All geometric formulas are explained with well selected word problems  Need a Quick Answer to your Math Problems? Get an answer in 10 minutes or less from a math expert! Justanswer is 100% RISK FREE.You Pay Only for the Answers You Like. Fees are Typically $9-$15
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