Question 612954: On My Test, There's an question asking: Given the following triangle side lenghts, identify the triangle as acute, right, or obtuse. I Don't Know How To Do That, , But The Questions Are 1. 9 cm, 10, cm, 12, cm. 2. 8 m, 15 m, 17 m. 3. 5 in., 6 in., 10in. 4. 7 mm, 24 mm, 25 mm, 5. 8 ft, 11 ft, 13 ft, & the last one is 3 yd, 8 yd, 9 yd.
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Use the pythagorean theorem (but in the opposite direction so to speak)
The idea is this: If A, B and C are the sides of a triangle where C is the longest side, then we can say the following
i) If A^2+B^2 = C^2 is true, then we have a right triangle
ii) If A^2+B^2 > C^2 is the case, then we have an acute triangle.
iii) If A^2+B^2 < C^2, then we have an obtuse triangle.
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