00:01
So let's go back to the triangle.
00:03
I'm going to start naming the angles and some lengths that we might need to calculate in a bit.
00:10
So i'm going to label the angles, the three angles a, b and c.
00:16
And one particular length that i would be interested in is a vertical line, v, which is perpendicular to the edge with length 11 feet.
00:30
So with this vertical length, i would be able to find the total area of the triangle.
00:40
And i can also use the length to help me calculate the angles a, b and c.
00:46
So with vertical length v, i would also, i would be able to bisect the edge with 11 feet into two parts, h9 and h10.
01:02
So my first goal would be to find v.
01:06
I cannot start on the angles a, b, and c because i do not have any single value for the three angles.
01:17
So i'm going to start with finding length v.
01:20
So to find length v, i came up with three equations.
01:27
So i'm looking at the left triangle, the left half of the triangle, i would be able to use the h9 feet as the hypotenuse and h9 as the h9 and v as the other two sides.
01:48
And i form an equation using pythagoras theorem, a squared plus b squared equals to c, squared where c is the hypotenuse and i do the same for the right triangle so 10 the edge with length of 10 feet would be my hypotenuse so also a squared plus b squared equals to c squared where c is equal to 10 and my third equation comes from the fact that h9 plus h 10 form the edge of the edge 10 form the edge with length 11 feet so rearranging i have h9 is equal to 11 minus h 10 i can work i can then work on my left most equation so i substitute h 9 with my third equation and then i simplify it substituting it with my second equation and i would be able to find the value of h -10.
02:57
So what i want to do here is to ultimately find the length of v.
03:02
So with h -10, i can substitute it into the second equation to find v, and i have my value of v to be this.
03:13
I'm going to leave it in its original form...