Formula for Triangulation

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The formula for triangulation requires you to pay very close attention to a point such as zero. Find out about the formula for triangulation with help from an experienced mathematics educator in this free video clip.

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Video Transcript

Hi, my name is Marija, and today I'm going to give you the formula for triangulation. So, if you were given a point such as zero, zero and you know that another point on this triangle that were given. And what's going to turn into a triangle is six, zero and you're given an angle; so, let's say that were told that this angle right here is 90 degrees; we're going to find out which point is going to complete this triangle. So, you have to be given an angle and you have to be given two lengths. So, if we're given that this is six, because the distance from the origin to six, zero is six and let's say that we're given the distance from this point here to our top point of our triangle would be 10, we can now just use the Pythagorean theorem to find out which point would complete this triangle. So, the Pythagorean theorem which is just a squared plus b squared equals c squared tells us that the two legs, the squares of the two legs are equivalent to the square of the hypotenuse, which is our longest side across from the right angle. So, I'm going to substitute the information that I know, I know this length is 10, so I'm writing 10 squared for c. I know that one of the legs is six, so I'm writing a six squared and I'm going to go ahead and solve for b squared which is my missing length, which will give me my missing point. And when I do this, I get 36 plus b squared equals a 100. So, when I subtract them both sides, I'm going to get b squared equals 64 and when I take the square root of both sides, I find out that b, my missing length is eight. So, my missing length is eight and I'm looking at a vertical line going straight up the y axis, that means that my missing point is going to be zero, eight. And with that point, I have three now that will actually make a triangle.

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