Question 876271: which of the following does not represent the sides of a right triangle?3,4,5 4,5,6 5,12,13 or 6,8,10
Answer by Edwin McCravy(20054)   (Show Source):
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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
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