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18 votes
Is 10,20,30 a right triangle or not a right triangle?

1 Answer

8 votes

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Answer:

not a right triangle

Explanation:

These lengths will form a triangle iff ...

10 + 20 > 30 . . . . . false

These side lengths do not form a triangle. It is NOT a right triangle.

_____

Additional comment

We notice the differences between these numbers are the same: 10. The only right triangle with side lengths having the same difference is some multiple of a 3-4-5 right triangle. For a right triangle with side lengths having a difference of 10, the sides would have to be 30, 40, 50--not 10, 20, 30.

User Gene S
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