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Right Triangle

The Pythagorean Theorem formula equals

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Pythagorean Theorem Examples

pythagorean theorem
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
Right Triangle 6 by 8
C
6
8
steps for solving for the hypotenuse of a right triangle
 Triangle 10 by 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
a^2 + B^2 = C^2
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?
pythagorian theorem and right triange
16
9
25
Pythagorean Theorem Visually
​Related sites..

10 Fun YouTube Videos on the Pythagorean Theorem  These videos are fun songs, water demonstrations,visual applications of the Pythagorean Theorem, and some random trivia

​Pythagorean Theorem/Cut the Knot  This link is a collection of 111 ways to prove the Pythagorean Theorem. Amazing,yes 111 different ways to prove the Pythagorean Theorem.

Pythagorean Board Game/High School Math Adventures
Common Core Standard 8.G.7  High School Geometry