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Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)\u2014or, in familiar algebraic notation, a2 + b2 = c2.
A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as c2 = a2 + b2, where c is the length of the hypotenuse and a and b the lengths of the other two sides.
6:08 8:22 Applying Pythagoras' Theory to Solve Problems - Video Tutorial / Revision \n... YouTube Start of suggested clip End of suggested clip This if a and b are our shorter sides then the sum of the squares of the two shorter sides shouldMoreThis if a and b are our shorter sides then the sum of the squares of the two shorter sides should equal the square of the c. The longest.
1:54 4:31 Math Word problems - Solving triangles - YouTube YouTube Start of suggested clip End of suggested clip Must be 60 degrees because all angles in the triangle must add up to 180 degrees. And we also knowMoreMust be 60 degrees because all angles in the triangle must add up to 180 degrees. And we also know from the diagram. That the left side of this triangle is equal to the height of the building H.
Pythagorean theorem This is usually expressed as a2 + b2 = c2. Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13). Notice we can multiple the entries in a triple by any integer and get another triple.
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0:03 4:50 Word Problems Using the Pythagorean Theorem - Example 1 YouTube Start of suggested clip End of suggested clip So again an equilateral triangle is just one where every side is equal. So I've labeled thoseMoreSo again an equilateral triangle is just one where every side is equal. So I've labeled those generically. As X well the way to fight you to find that length.
2:21 7:39 Pythagorean Theorem Word Problems - YouTube YouTube Start of suggested clip End of suggested clip So a squared plus B squared equals C squared where 14 is our a value and 14 will also be our B valueMoreSo a squared plus B squared equals C squared where 14 is our a value and 14 will also be our B value since our legs are all the same. So 14 squared is 196 plus another 14 squared is another 196.
One of the consequences of the Pythagorean theorem is that irrational numbers, such as the square root of two, can be constructed. A right triangle with legs both equal to one unit has hypotenuse length square root of two.
2:21 7:39 Pythagorean Theorem Word Problems - YouTube YouTube Start of suggested clip End of suggested clip So a squared plus B squared equals C squared where 14 is our a value and 14 will also be our B valueMoreSo a squared plus B squared equals C squared where 14 is our a value and 14 will also be our B value since our legs are all the same. So 14 squared is 196 plus another 14 squared is another 196.
1:15 2:53 Pythagorean Theorem Word Problems -MathHelp.com - Math Help YouTube Start of suggested clip End of suggested clip Notice that we have a right triangle. So we can use the Pythagorean theorem a squared.MoreNotice that we have a right triangle. So we can use the Pythagorean theorem a squared.

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