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The square of the hypoentuse is equal to the sum of the squares of the other two sides.
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What did Pythagoras contribute to mathematics?
the pythagorean theorem i would just like to say that he did not discover that, it was found in 800 B.C
Why does the Pythagorean theorem work on only right triangles?
There is a Pythagorean theorem that actually works for every triangle. Its just that for right triangles it can be simplified to A2+B2=C2 due to the properties of cosines. The law of cosines states that for a triangle with sides A, B, and C, and angles a, b, and c (with side C being opposite angle c), C2 = A2 + B2 - (2 x A x B x cos c). This formula will work for any triangle. Now imagine that we are talking about a right triangle, with side C the hypotenuse (just like in the classic Pythagorean theorem) and angle c the right angle. The cosine of a 90 degree angle is 0, which means that the part in bold would completely drop out of the equation, leaving us with A2+B2=C2 . The cosine of any other angle possible on a triangle would result in some other number, making A2+B2=C2 not work.
How do you find the diagonal of a rectangular prism?
If the prism is a rectangular parallelepiped (that is, all the angles are right angles), just add the squares of the 3 dimensions (length, width, and height) together, and take the square root. This involves 2 applications of the Pythagorean Theorem.
How can i use Pythagorean Theorem in the real world?
The Pythagorean theorem can be done this way. a²+b²=c² lets say that you have a triangle with three sides, but you are only given two. Their values are 3 and 4. Now you have to fill in the values with a=3 and b=4 (doesn't matter which order you put it in) 3²+4²=c² c is still unknown so we have to do the next step. 3² is 9 and 4² is 16. knowing this, we have to do this next: 9+16=c² 9+16 is 25. 25=c² now you must get rid of the ². you do this by using the square root. don't ask me why you square root, that's just how the Pythagorean theorem works. √25=√c² the square root gets rid of the c squared so its just the square root of 25. 5=c triangle sides: 3,4,5 The process can also be reversed. a²=c²-b² or b²=c²-a² P.S: Please recommend using button below, thank you. James A. Garfield, the twentieth president of the United States, discovered an original proof of the Pythagorean theorem. The proof is algebraic in nature and uses the formula for the area of a trapezoid. See the link below for details. Garfield is credited with an original proof of this famous theorem. Many of the presidents undoubtedly proved it in geometry class after studying their books.
In a right triangle the length of the hypotenuse is 20 inches and the length of one leg is 15 inches what is the length of the other leg?
There is a famous theorem that you use to solve this problem, namely the Pythagorean theorem which says that the square on the hypotenuse is equal to the sum of the squares on the opposite sides. (The hypotenuse is the longest side; the other sides are commonly called legs.) If you know the hypotenuse and one leg you can find the other leg by simple algebra. Just subtract the square of the leg you know from the square of the hypotenuse and take the square root of this difference. Bingo! You have your answer.
