SOLUTION: two sides of a triangle have lengths 5 and 14. Which inequalities represent the possible lengths for the third side,x?
a) 9<x<5
b) 9<x<14
c) 5<x<14
d) 9<x<19
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Triangles
-> SOLUTION: two sides of a triangle have lengths 5 and 14. Which inequalities represent the possible lengths for the third side,x?
a) 9<x<5
b) 9<x<14
c) 5<x<14
d) 9<x<19
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Question 398257: two sides of a triangle have lengths 5 and 14. Which inequalities represent the possible lengths for the third side,x?
a) 9
b) 9
c) 5
d) 9 Answer by dnanos(83) (Show Source):
You can put this solution on YOUR website! It is the d) inequality because in any triangle each side is less than the sum of the two other sides and more than the difference of them (the shorter subtracted from the longer one).
That is the inequality
14-5< x <14+5
that is 9< x <19
