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erastova [34]
3 years ago
7

The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n. smallest value- la

rgest value- plz help
Mathematics
1 answer:
VLD [36.1K]3 years ago
8 0
The smallest value it could be is 4 and the largest value it could be is 10.

The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side.  Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.

If we take the unknown side and the smallest one we're given, we would have the inequality 
n+4>7

Subtracting 4 from both sides we would have n>3.  That means it would have to be the next integer up, which would be 4.
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