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G-GMD.6 Warmup M2-040-A06-V04

Use triangle angle-side relationships and triangle inequality in mathematical and real-world problems.

Make a contextual triangle-existence decision

Problem

Sticks of lengths \(6~\text{cm}\), \(9~\text{cm}\), and \(14~\text{cm}\) are proposed as the sides of a triangle. Can they form a nondegenerate triangle?

Three proposed triangle sides with stick lengths 6 centimeters, 9 centimeters, and 14 centimeters; no completed triangle or classification is shown. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-GMD.6
Category
Geometry
Domain
Geometric Measurement and Dimension
Objective
Use triangle angle-side relationships and triangle inequality in mathematical and real-world problems.
Problem type
Make a contextual triangle-existence decision