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9.04 The triangle inequality

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

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

Easy
< 1min
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Outcomes

II.G.CO.10

Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

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