00:02
Okay, in this scenario, we've been given a triangle attached to another triangle.
00:09
They're both right triangles, and we want to find the value of m and the value of k.
00:15
Now, if you notice the first triangle here, i'm going to draw it in red.
00:21
This is in our soslis right triangle.
00:23
They gave us that these two side lengths were the same, and we want to find the value of side m.
00:29
So we can just apply to pythagorean theorem, a squared, plus b squared, equal c, squared, remember, c squared is the hypotenuse, and our hypotenuse in this situation is represented by m.
00:43
So instead of writing c, i'm going to write m.
00:46
And size a and b are both the square of three.
00:49
So the square root of three squared plus the square root of three squared.
00:57
And you see i put parentheses around it just for making sure that when you substitute into the calculator, you're going to get the correct answer, because sometimes if you know your calculator, it may give you something strange.
01:09
So the square to three squared is just going to be three plus the square of three equals m squared.
01:19
That's six for m squared.
01:24
And we take the square root of both sides and we find the value of m equals the square root of six.
01:30
So this equals the square root of six.
01:35
So we find that and we're going to use that value to help us find the value and calculate the value of side k.
01:45
We can't apply to pythagorean theorem here because we only know one side, but i know a side and i know an angle...