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G-GMD.6 Warmup M2-040-A02-V02

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

Find the possible range for a missing triangle side

Problem

A triangle has \(\text{two}~\text{side}~\text{lengths}\) \(7\) and \(12\). What is the possible range for the third side \(x\)?

A triangle with known side lengths 7 and 12 shown with visibly different proportional lengths and an unknown third side x. 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
Find the possible range for a missing triangle side