Mathematics
24.07.2022 15:02
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the sides of a triangle are 7, 4, n. if n is an integer, state the largest and smallest

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-

largest value-

plz

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jacob12049
jacob12049
4,7(28 marks)
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.
keatonjarvis
keatonjarvis
4,4(42 marks)

16 x -3 and 16-3

Step-by-step explanation:

If you multiply 16 and -3 you get -48 and if you subtract 3 from 16 you get 13 (hope this helped) :)

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