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5.06 Inequalities in one triangle

Adaptive
Worksheet

Interactive practice questions

Given three side lengths $7$7, $12$12, and $17$17:

a

Complete the following statements, using $=$=, $>$>, or $<$<:

$7+12\editable{}17$7+1217

$7+17\editable{}12$7+1712

$17+12\editable{}7$17+127

b

Do these lengths form a valid triangle?

Yes

A

No

B
Easy
< 1min

Given three side lengths $3.2$3.2, $7.4$7.4, and $9.6$9.6:

Easy
< 1min

Given three side lengths $9$9, $4$4, and $5$5:

Easy
< 1min

Which of the following figures do not represent a real triangle?

Medium
< 1min
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Outcomes

MA.912.GR.1.3

Prove relationships and theorems about triangles. Solve mathematical and real-world problems involving postulates, relationships and theorems of triangles.

MA.912.LT.4.8

Construct proofs, including proofs by contradiction.

MA.912.LT.4.10

Judge the validity of arguments and give counterexamples to disprove statements.

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