00:01
The information i'm given, the area of a square is one -fourth as large as the area of a triangle.
00:12
So what i know so far, the area of a square is one -fourth, the area of the triangle.
00:31
Now, i know that one side of the triangle is 16 inches long.
00:37
So i have that side labeled.
00:41
And the altitude to that side is the same length as the side of a square.
00:47
So altitude basically means it's from, it's the distance from one of the vertices down to that side, and it hits at a 90 degree angle.
00:57
So it would be this in here.
01:02
That's the altitude.
01:03
And they're telling me it's the same as the side of the square.
01:09
And now i need to find the length of.
01:15
One of those sides of the square.
01:22
So i'm looking for s.
01:25
Okay, let's try to clue this up.
01:28
So i know area of the squared.
01:31
That's my a sub s.
01:32
That's just going to be whatever that side length is, squared, side time side.
01:37
Okay, the area of that triangle, the formula for my area of triangle is one half base times height.
01:47
Okay, and what that means is the base is one of my size of the triangle.
01:51
The height needs to hit the base at a 90.
01:53
Degree angle.
01:55
So my altitude, which is the same as the side length of that square, is my height.
02:02
So i am going to use this one -fourth times area of the triangle to help me figure out one side length.
02:14
So i'm going to substitute instead of a sub -s.
02:16
I'm going to put what it should be.
02:19
S -squared equals one -fourth times.
02:24
And then instead of, a sub t, i'm going to sub in one half base.
02:31
I already know is 16 because that was the given side.
02:35
And then my height, instead of putting h, i know it's also equal to one of the side lengths of the square.
02:42
So s...