In this situation this is the hypotenuse, because it is opposite the 90 degree angle. Let me do one more, just so that we're good at recognizing the hypotenuse. So let's say that C is equal to the length of the hypotenuse. So let's say that I have a triangle that looks like this. And they want us to figure out that length right there. And that's going to be the side opposite the right angle.
So let's say that that is my triangle, and this is the 90 degree angle right there. Now the first thing you want to do, before you even apply the Pythagorean theorem, is to make sure you have your hypotenuse straight.
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A simple equation, Pythagorean Theorem states that the square of the hypotenuse (the side opposite to the right angle triangle) is equal to the sum of the other two sides.
In this video we're going to get introduced to the Pythagorean theorem, which is fun on its own. Now we can subtract 36 from both sides of this equation. On the left-hand side we're left with just a B squared is equal to-- now 144 minus 36 is what? Now let's see if we can simplify this a little bit. And what we could do is we could take the prime factorization of 108 and see how we can simplify this radical.
But you'll see as you learn more and more mathematics it's one of those cornerstone theorems of really all of math. So 108 is the same thing as 2 times 54, which is the same thing as 2 times 27, which is the same thing as 3 times 9. And so, we have a couple of perfect squares in here. And this is all an exercise in simplifying radicals that you will bump into a lot while doing the Pythagorean theorem, so it doesn't hurt to do it right here.
Following is how the Pythagorean equation is written:a² b²=c²In the aforementioned equation, c is the length of the hypotenuse while the length of the other two sides of the triangle are represented by b and a.
Though the knowledge of the Pythagorean Theorem predates the Greek Philosopher, Pythagoras is generally credited for bringing the equation to the fore.
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The Pythagorean theorem was reportedly formulated by the Greek mathematician and philosopher Pythagoras of Samos in the 6th century BC.