00:01
Here, in order to find out the height of the root, we can use the pythagorean theorem on one of the triangles formed by cutting the equilateral triangle in half.
00:13
This will give the right angle triangle with base of 12 .5 feet and that is half of 25 feet and a hypotenuse of 25 feet and let h be the height of the triangle.
00:32
So, by using pythagorean theorem, we have 12 .5 square plus h square equal to 25 square which implies that 156 .25 plus h square equal to 625 which implies that h square equal to 468 .75.
01:02
Taking root on both the side, we get h is equal to 21 .7 feet.
01:07
So, the height of the root is approximately 21 .7 feet.
01:15
Now, to find the area, this is the first, second question is area.
01:23
Now, in order to find out the area, we need to find the area of the triangular base and the area of the three rectangular bases.
01:30
Let a be the area of the root's entire surface and let small a be the entire surface area and let small a be the area of one triangular base and b be the area of one rectangular base.
02:02
Now, a is equal to s square root 3 by 4 a and which will be equal to 270 .6 square feet.
02:14
The area of one rectangular faces b can be calculated with the formula of rectangle that is length into width and which will be equal to 2w into wb which will be equal to 2w square.
02:32
Now, we can create a formula to find out the root's entire area.
02:37
A is equal to 2a plus 3b that will be equal to 2 into 270 .6 plus 3 into 2w square that will be equal to 4541 .2 plus 6w square...