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# Is it possible to construct a triangle acruatly given ssa?

Updated: 11/1/2022

Wiki User

11y ago

No, it is an ambiguous case: there are two possible configurations.

Wiki User

11y ago

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Q: Is it possible to construct a triangle acruatly given ssa?
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### Is it possible to construct a triangle with the given side lengths 15 112 113?

Yes, it is possible.

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If you mean side lengths of 5, 4 and 1 then it is not possible to construct any triangle from the given dimensions.

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Because the sum of the smaller sides is greater than the largest side and it is possible to construct one right angle triangle with the given lengths

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Such a triangle would be impossible to construct with the given 3 dimensions because in order to construct a triangle the sum of its 2 shortest sides must be greater than the length of its longest side.

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None because the given dimensions are invalid to construct any type of triangle

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No because in order to construct a triangle the sum of its 2 shortest sides must be greater than its longest side and from the given dimensions 2+1 is less than 4 and so therefore a triangle is not possible.

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If you mean angles of 150 degrees, 20 degrees and 20 degrees then it is impossible to construct such a triangle because the angles in any triangle add up to 180 degrees and the angles given add up to 190 degrees.

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