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Zigmanuir [339]
3 years ago
8

Given three side lengths, how many triangles can be formed?

Mathematics
2 answers:
alekssr [168]3 years ago
4 0

Given three side lengths, for example, a, b and c, you can form the triangle when

a+b>c,\\ a+c>b,\\ b+c>a.

If this property holds, then one triangle you can form. Each next triangle with the same sides lengths will be congruent to the first triangle by SSS postulate.

SSS postulate says: If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Answer: 1 triangle, correct option is A.

jeka943 years ago
4 0
We know that

In a triangle, the combined lengths of any two sides must always be greater than the length of the third side. (Triangle Inequality Theorem)

<span>If all three side lengths are given and the combined length of two sides is greater than the length of the third side.</span>

then 

 one unique triangle can be made

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