Determine which set of numbers can be the measures of the sides of a triangle.
question 6 options:
a)
13, 10, 16
b)
1, 2, 3
c)
5.2, 11, 4.9
d)
208, 9, 219

  a)  13, 10, 16

Step-by-step explanation:

The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...

  10 + 13 > 16 . . . . choice A

Comment on the triangle inequality

Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.

a .4y4

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