SOLUTION: The sides of a triangle have lengths 2x+2, 4x and 5x+1. The longest side of the triangle has a length of 5x-1. For what values of x is the triangle obtuse?

Question 1066304: The sides of a triangle have lengths 2x+2, 4x and 5x+1. The longest side of the triangle has a length of 5x-1. For what values of x is the triangle obtuse?
Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
AS GIVEN and described,
and a strep from that GIVEN information is

-----------a false statement.

The first THREE expressions should work this way:

Critical x-values:

--
You should check also to be sure you know what values for x will make the lengths 2x+2, 4x, and 5x+1, POSITIVE VALUES. Note, because of 4x one of the sides, necessary.

Look at ;

which is the right-hand critical value of x, negative, and therefore will not work for ;
The values for x to the left of the left-hand critcal value will also not be acceptable, because they are negative. The interval between the two critical x-values neither will work; the inequality will fail as well as side length 4x being negative.

SOLUTION:

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