Question

Determine if the side lengths could form a triangle. Use an inequality to prove your answer. You must use inequality and show your work.34km, 27km, and 58km29ft, 38ft, and 9ft

Answer 1

There are two versions of the triangle inequality. One requires ...

a + b > c

for any triple of side measures a, b, c.

The other allows ...

a + b ≥ c

which admits "triangles" that have zero height and look like line segments.

$34+27=61>58$

It satisfies the inequality , Thus form the triangle.

$29+9=38\ge38$

It satisfies the inequality , Thus form the triangle.