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Pythagorean Theorem

Right Triangle: 3-sided polygon containing 1 right angle.

Right Angle: 90˚

Pythagorean Theorem: IN ALL RIGHT TRIANGLES... a2 + b2 = c2                                         

 

 

 

         

 

 

 

a2 + b2 = c2
32 + 42 = x2
9 + 16 = x2
25 = x2
x = 5

How does this work?  Here's one way...

Since side a was 3, it squared is 9.  b is 4, it squared is 16...you can see I put that with the unit pictures... if you rearrange the units of a and b and put them together, you get the picture for c.

 

Three numbers, such as 3, 4, and 5, are called Pythagorean triples because they can be integer sides of a right triangle.

Directions: Find the integer value for x.

Now we know a2 + b2 = c2, so to find b, we can rearrange it.

b2 = c2 - a2
x2 = 289 - 225
x2 = 64
x = 8

 

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