00:01
In this problem, we're given rectangle rstw, and we're told that rw, which is this length right here, is going to be seven more than sr.
00:10
And we're told that the diagonal, rt, right here, is going to be eight more than the side sr right here.
00:19
So if we let sr be x, then what we have here is a right triangle, or two right triangles, really, because, this length is also x and this length is x plus seven.
00:35
So we have this right triangle, and i'll draw it separate, that we can use the pythagorean theorem on to find what the length of sr is.
00:45
And then using that, we can plug in to find the other lengths.
00:49
So this is x plus seven.
00:51
This is x, and this is x plus eight.
00:54
We're going to use the pythagorean theorem, because this is a right triangle, because this is a rectangle.
00:59
And we're going to have x squared plus x plus seven squared equals x plus eight squared.
01:08
And that's just an application of leg squared plus leg squared equals hypotenuse squared.
01:15
All right...