7. Special segments

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

Less than a minute

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

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

Given three sides $3.1$3.1, $7.7$7.7 and $11.8$11.8.

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Verify and apply geometric theorems as they relate to geometric figures.