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In this example, we're asked to use the Pythagorean theorem to find the missing
side length for the triangle given below.
this is a right triangle which means that the sides
and the hypotenuse, which is the side
directly across from the right angle,
will fulfill the relationship
A^2 + B^2 = C^2. So let's identify
the sides. So 12 is A,
7 is B, and C is what's missing. So let's set up
the pieces of the Pythagorean theorem and see if we can identify the missing side
length C.
So 12^2 + 7^2
equals C^2. It's very important that you keep the relationship
in the order that it's presented. The C
can only ever be by itself. It can't be added here
when you set up your initial equation. So
12^2 is 144, plus
7^2 is 49 equals C^2.
So when I add these two I get 193
equals C^2, then
what I'm going to do to determine the value of C
is I'm going to take the square root of both sides.
When I do that what happens is the C squared
becomes see 193
becomes the square root of 193 if I compute the square root of 193
and round to the toads place I get 13
point night that the tag you're in Theorem then
allows us to find the missing side links see
equals 13.99