So solving for why we have negative one equal to y over x minus one, that's the same as Y equal to one minus X. Now that we have our age, then we now go back to our slope on the line that will be rice overrun, which in this case will be positive one over our run, which is negative because it's going towards the left and this is equal to Y sub two minus Y sub one, That's Why AM I not zero over except to minus except one, that's x minus one. So This is equal to the square of 2 -1 or one. So based again on pythagorean theorem, H is just the square it of the hypothesis of the smaller triangle that is squared of two and then we square it minus the square of the base, Which is one. So that square it of For over two or square there too. And since hypothesis to then this is just two squared Equal to two times side squared in solving for side we have side equal to 4/2 or two. And because they are equal, we can say that that's twice the square of the side length. So we can say that the square of the hypothesis, this is equal to the some of the squares of the side length. Now, based on this figure, we know that the hypothesis is to and this side lengths are equal. Now to find a job, we will use pythagorean theorem. So looking at this figure, you know, our B is just one. So let's say this is our each and then this is our base bi. Up to why I said to now the rice overrun, this is just the height over the base of this right triangle. Now let's call this point right here, Which is 10 hour X. That's equal to what I said to minus why someone over Except two -X. Formula for the slope of the line that is I am equal to the rice overrun. And the maximum area and dimensions of this rectangle. And here we want to find the Y coordinate of the point P. Consider this figure below of a rectangle inscribed in an isosceles right triangle With hypothesis two units along.
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