00:01
Hello students, let's denote the length.
00:07
The length of the rectangle is x and its width is y.
00:21
The longer side of the rectangle is given as 9 .61 cm.
00:28
Since the area of the rectangle, area of the rectangle a is equals to length into width.
00:42
So we have area equals to xy.
00:47
However, we also know that the rectangle is inscribed in the triangle, which means the rectangle's vertices touch the sides of the triangle.
00:57
In this case, the longer side, the longer side of the rectangle is 9 .61 cm.
01:11
The width of the rectangle, width of the rectangle is the shorter side, which is 4 .25 cm.
01:26
Given the longer side of the rectangle is on the side of the triangle, the remaining side of the triangle adjacent to the longer side of the rectangle will be the 8 .62 cm remaining side.
01:45
Therefore, we can use the pythagorean theorem.
01:51
We have x square equals to length of the triangle side whole square minus width of the rectangle, width of the rectangle whole square...