  Master the 7 pillars of school success  ## Pythagorean Theorem Examples Transcript
Pythagorean Theorem
Hi Welcome to MooMooMath. Today we are going to talk about one of my favorite theorems and that is the Pythagorean Theorem. The formula is A squared plus B squared, equals C squared. So let’s look at a triangle and see what this applies to. We have to have a right triangle to apply the Pythagorean Theorem, where the shorter two sides are A and B. So A and B are the two short sides or legs of a right triangle. The hypotenuse C is opposite the right triangle. So here is our example. If we have the legs 6 and 8 what is C or the hypotenuse? Let’s look at the formula in a little more detail. The rules are as follows. A and B are always the legs. C is always the hypotenuse. How do you work the formula? It is very simple. You square A ( where you get the A squared) and you square B ( where you get the B squared) then you add those two together then you take the square root of that number and you have the Pythagorean theorem. So A and B are the legs and C is always the hypotenuse. So let’s run through this example. Six and eight are both legs. So I’m going to say 6 is A and 8 is B. These can interchange, it doesn’t really matter. So we have thirty six (6 squared) plus sixty four (8 squared) and that equals C squared which is the sum of these (36 plus 64) which equals 100 and to undo a square we take the square root which equals 10. There you go and that is how you work the Pythagorean Theorem.

# High School Geometry-Pythagorean Theorem

a
b
c C
6
8  8
Leg
Leg
Hypotenuse
10
a
Find leg a in a triangle with a hypotenuse of 10 units and a leg of 8 units In order to find the missing leg length a use the Pythagorean Theorem.
Plug in hypotenuse (10 ) and leg length ( 8 )
Take the square root of both sides
The Pythagorean Theorem states that if you square the legs of a right triangle, and add these together, it equals the hypotenuse of the right triangle squared . The Theorem can be used with right triangles in order to find the lengths of the legs and the hypotenuse.
a and b are the legs of the triangle

c is the hypotenuse and it is always opposite the right angle.
What is the hypotenuse of triangle with leg lengths of 6 and 8 units? 16
9
25
Pythagorean Theorem Visually
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