Question

How many triangles can be formed with segments measuring 4.7 m, 1.6 m, and 2.9 m?

none

one

more than one

Answer 1

(a) none

Explanation:

You want to know how many triangles can be formed from segments of lengths 1.6 m, 2.9 m, and 4.7 m.

Triangle inequality

The triangle inequality requires the sum of the two shorter segments exceed the length of the longest one.

1.6 + 2.9 > 4.7

4.5 > 4.7 . . . . . . . not true — no triangle can be formed

These segments will form no triangles.

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