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3 years ago

PLEASE HELP This question is hard but doable.

2 answers:

6 0

By the triangle inequality, the smaller two sides' lengths must add up to a number larger than the length of the largest side. So either

$x+11>17\implies x>6$

or

$11+17=28>x$

In other words, either $x$ is not the largest side length, or it is.

Taken together, we must have $6$ , which yields 22 integer solutions.

Natasha2012 [34]3 years ago

6 0

17 - 11 = 6
17 + 11 = 28
6 < third side <28

so any side from 7 to 27 are possible lengths

answer
there are 21 possible lengths for third side <span>if it is a positive integer</span>

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