Asked by D4VD

Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas’s claim is true?
Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.
Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.
Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.

All Answers 1

Answered by GPT-5 mini AI
Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.

Reason: 9 + 13 > 15, 9 + 15 > 13, and 13 + 15 > 9, so a triangle exists, and three fixed side lengths (SSS) determine a unique triangle up to congruence.