Question 876271
<pre>
We check to see if the Pythagorean theorem is satisfied.
The LONGEST side will be the HYPOTENUSE, c.  It doesn't
matter which of the other two sides is a and which is b.

3,4,5 

c=5, a=3, b=4 

Substitute in

c² = a²+b²
5² = 3²+4²
25 = 9+16
25 = 25   That's true so 3,4,5 form a right triangle.

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4,5,6 

c=6, a=4, b=5 

Substitute in

c² = a²+b²
6² = 4²+5²
36 = 16+25
36 = 41   That's false so 4,5,6 does not form a right triangle.

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5,12,13 

c=13, a=5, b=12 

Substitute in

c² = a²+b²
13² = 5²+12²
169 = 25+144
169 = 169   That's true so 5,12,13 form a right triangle.

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6,8,10

c=10, a=6, b=8 

Substitute in

c² = a²+b²
10² = 6²+8²
100 = 36+64
100 = 100   That's true so 6,8,10 form a right triangle.

Edwin</pre>