Q: What is the rule that we know about side lengths of triangles?

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If they have the same angles, but different side lengths.

They are congruent.

no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.

No, triangles with the same side lengths are always congruent.

How many triangles exist with the given side lengths 3in, 4in, 2in

Related questions

If they have the same angles, but different side lengths.

They are congruent.

no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.

No, triangles with the same side lengths are always congruent.

How many triangles exist with the given side lengths 3in, 4in, 2in

The triangles have the same side lengths.

Only if they are congruent triangles

False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.

The side-angle-side congruence theorem states that if you know that the lengths of two sides of two triangles are congruent and also that the angle between those sides has the same measure in both triangles, then the two triangles are congruent.

True

No. Angles don't have anything called a side length. However, one can use trigonometry to compute the angles of a triangle based on the side lengths of the triangle (triangles do have side lengths).

There is only one triangle with these side lengths. It is an equilateral triangle, where all three sides have the same length.