00:01
Okay, so this is a multi -step problem.
00:03
We got a pyramid here, a square pyramid, it's saying that the bottom, the base is 100 units, the area, and the height of it is 12 units.
00:12
We got to find the slant height of the pyramid.
00:15
So what they're asking for is they're asking for this height right here.
00:21
Let's see if you can visualize this right here, the slant.
00:26
So if i'm going down the side of this pyramid, that's what they want.
00:30
Okay, so two parts to this.
00:31
The first thing i want to do is i got to get the length of the side of the pyramid.
00:38
Okay.
00:39
So my goal first is to create a triangle here and find this first, this triangle.
00:45
Okay.
00:46
From here to here, if you can imagine me taking a slice off, it would be this shaded area here.
00:52
Okay.
00:53
Once i find that triangle length, then i can use the lengths to find this side of the triangle here.
00:59
Okay.
01:00
So if i come down here, this.
01:02
Here is the other triangle i'm trying to find.
01:05
Okay, that's my goal.
01:08
Okay.
01:08
So the first part is this.
01:12
To get this triangle, i have to first, i know the basis, since it's 100 units, then my size are going to be 10 and 10.
01:19
Okay.
01:20
So what i want to do first is i need to find this part here.
01:26
Okay, i need to find this part here, that length.
01:28
Because i know my height is going to be 12.
01:30
So to find that length, if i cut this in half, it creates a right triangle.
01:36
Okay.
01:36
And a special right triangle, meaning that if i have a 45 or 45 degree angle, then the total length here is going to be 10 square root of 2.
01:47
Okay.
01:49
So once i have 10 square root of 2, now if i divide that by 2, i'm going to get this length right here, which is what i need.
01:57
So that length is going to be 5 square root of 2...