00:01
In this question, we're going to be finding the value of x and we'll express the answer in the simplest radical form.
00:09
In these three diagrams, we have right triangles and we're going to apply the pythagorean theorem.
00:16
And so let's start with question 1.
00:19
X represents the hypotenuse, and according to the pythagorean theorem, we have x squared as 12 squared plus 16 squared.
00:28
So that equals 144 plus 196, sorry, plus 256, which is 16 squared.
00:42
So when we add these two, the answer is 400.
00:47
So the value of x is a square root of 400, positive square root of 400, which equals 20.
00:54
So the value of x in part 1 is 20 units.
01:04
Now in part 2, x is one of the legs.
01:09
So you have x squared as 14 squared, the hypotenuse squared minus the other leg squared...