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Answer: Yes, a triangle is formed; it is a scalene triangle.

Distance formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\).

\[LM=\sqrt{11^2+7^2}=\sqrt{170}\approx13.04\]

\[MN=\sqrt{1^2+11^2}=\sqrt{122}\approx11.05\]

\[LN=\sqrt{12^2+4^2}=\sqrt{160}\approx12.65\]

The sum of the two smaller sides (≈ 23.7) is greater than the largest (≈ 13.04), so the points are not collinear and a triangle is formed. All three sides are different, so it is scalene.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
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