SOLUTION: With side lengths of 4, 5, and 7...what type of triangle is this?

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Question 956269: With side lengths of 4, 5, and 7...what type of triangle is this?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
S=short side=4 units; M=middle side=5 units; L=long side=7 units
S+M>L So it can be a triangle
If three sides are equal then it is an equilateral triangle.
If two sides are equal then it is an isosceles triangle.
If no sides are equal then it is a scalene triangle.
If S%5E2%2BM%5E2=L%5E2 then it is a right triangle.
If S%5E2%2BM%5E2%3EL%5E2 then it is an acute triangle.
If S%5E2%2BM%5E2%3CL%5E2 then it is an obtuse triangle.
S%5E2%2BM%5E2__L%5E2
4%5E2units%5E2%2B5%5E2units%5E2__7%5E2units%5E2
16units%5E2%2B25units%5E2__49units%5E2
+41units%5E2__49units%5E2 41<49, no sides equal, so this is an obtuse triangle.
ANSWER: Since the triangle has no equal sides, it is an obtuse scalene triangle.