SOLUTION: In triangle SAM, the longest side is 15. Find the range of values for x so that triangle SAM is an acute triangle.
SA = x
AM = 15
SM = x+3
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Question 1006326: In triangle SAM, the longest side is 15. Find the range of values for x so that triangle SAM is an acute triangle.
SA = x
AM = 15
SM = x+3
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Making a drawing, A above, S at bottom at the left, M at bottom to the right, if you want the triangle to be acute, then these two equations (maybe another one additionally) are necessary:
You want the intersection of the solutions to these.
(You would need to simplify that system and solve each inequality, not done/shown in this posting.)
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
In triangle SAM, the longest side is 15. Find the range of values for x so that triangle SAM is an acute triangle.
SA = x
AM = 15
SM = x+3
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