00:01
Hello students, let's denote the base and height of the two triangles as b1h1, b2h2 respectively and let the two bases and height of the trapezoid be b3, b4 and h3 respectively.
01:20
The total area of glass required to complete sustained glass window is the sum of the area of the two triangle and the trapezoid.
01:39
Therefore the total area equal to 1 by 2 b1h1 plus 1 by 2 b2h2 plus 1 by 2 b3 plus b4 into h3.
01:56
We want to find the minimum length of a sheet of glass required to cut out these three shapes.
02:04
Since sheets are 12 inches wide, we need to find the total length of the shapes then divide by 12 to find the minimum length of the sheet required.
02:12
To find the total length of the shape, we need to add up the length of all sides.
02:17
The sides of the triangles can be found using pythagorean theorem.
02:20
That is b1 equal to square root h1 square plus 12 minus b2 square.
02:30
B2 equal to square root h2 square plus 12 minus b1 whole square.
02:38
The sides of trapezoid are given by b3 is equal to 6, b4 is equal to 6 minus b2 minus b1.
02:47
So h3 equal to square root h1 square minus b3 minus b1 by 2 whole square...