Question

Triangle ABC has sides with lengths 14, 17, and 26. Is the triangle obtuse, acute, or a right triangle?

Answer 1

do a^2+b^2=c^2

Answer 2

it is obtuse

Answer 3

If c > b > a:
c² = a² + b² => right triangle
c² > a² + b² => obtuse triangle
c² < a² + b² => acute triangle

26² = 676
14² + 17² = 485
676 > 485 => ABC is an obtuse triangle
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