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9.07 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

M1.G.CO.B.4

Use definitions and theorems about triangles to solve problems and to justify relationships in geometric figures.

M1.MP1

Make sense of problems and persevere in solving them.

M1.MP3

Construct viable arguments and critique the reasoning of others.

M1.MP4

Model with mathematics.

M1.MP5

Use appropriate tools strategically.

M1.MP6

Attend to precision.

M1.MP7

Look for and make use of structure.

M1.MP8

Look for and express regularity in repeated reasoning.

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