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two side of a triangle have lengths 6 and 16 which inequalities describe the values that possible lengths for the third side

User Tharsan
by
8.7k points

1 Answer

5 votes

Answer:


22 > x > 10


10 < x < 22

Explanation:

Given


Side\ 1 = 6


Side\ 2 = 16

Required

Determine the inequality that represents the third side

Represent the third side with x.

For the triangle to be true, two of the following condition must be true.


6 + 16 > x


6 + x > 16


16 + x > 6


6 + 16 > x


22>x -- True


6 + x > 16


x > 16 - 6


x > 10 -- True


16 + x > 6


x > 6 - 16


x > -10 --- False; Because, x can't be negative.

So, we have:


22>x and
x > 10

This can be combined to give:


22 > x > 10

or


10 < x < 22

User Stumped
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