SOLUTION: How do you determine what type of triangle it is based off of only it's side lengths? For example: Side lengths are 16, 48, and 50. Is this a right triangle?

Algebra ->  Triangles -> SOLUTION: How do you determine what type of triangle it is based off of only it's side lengths? For example: Side lengths are 16, 48, and 50. Is this a right triangle?      Log On


   



Question 403585: How do you determine what type of triangle it is based off of only it's side lengths? For example: Side lengths are 16, 48, and 50. Is this a right triangle?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the square of the longest side = the sum of the squares of the other 2, it's a right triangle.
If it's less, it's acute.
If it's more, it's obtuse.
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16%5E2+%2B+48%5E2+=+2560
50%5E2+=+2500
---> Acute triangle, all angles less than 90º

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do you determine what type of triangle it is based off of only it's side lengths? For example: Side lengths are 16, 48, and 50. Is this a right triangle?
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It's a right triangle if 50^2 = 16^2+48^2
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Cheers,
Stan H.