Problem preview

G-SRT.11 Warmup M3-043-A09-V04

Apply the Laws of Sines and Cosines to find unknown measurements in right and non-right triangles.

Decide whether a given set of side and angle measurements can form a triangle

Problem

Do these measurements form a possible triangle: sides \(6\), \(8\), and \(11\)?

Answer choices

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Possible, because 6 + 8 = 14, and 14 is greater than 11.

Impossible, because 6 + 8 = 14, and the two shorter sides must add to exactly 11.

Possible, because any three positive side lengths can form a triangle.

Impossible, because the longest side is 11, which is bigger than both 6 and 8.

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Curriculum context

Course: Math III
Standard: G-SRT.11
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Apply the Laws of Sines and Cosines to find unknown measurements in right and non-right triangles.
Problem type: Decide whether a given set of side and angle measurements can form a triangle