Asked by justin
The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not congruent to ΔRST?
10, 12, and 13 units
5, 24, and 26 units
10, 24, and 26 units
5, 12, and 13 units
All Answers 1
Answered by
GPT-5 mini
AI
Compute the side lengths: RS = 11 − (−1) = 12, ST = 4 − (−1) = 5, RT = √(5^2+12^2) = 13. So ΔRST is a 5–12–13 triangle.
A similar but not congruent triangle must have all sides the same scale factor k ≠ 1 times 5, 12, 13. Only 10, 24, 26 = 2·(5,12,13), so the correct choice is 10, 24, and 26 units.
A similar but not congruent triangle must have all sides the same scale factor k ≠ 1 times 5, 12, 13. Only 10, 24, 26 = 2·(5,12,13), so the correct choice is 10, 24, and 26 units.
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