Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.

What is the smallest possible whole-number length of the unknown side?

Question

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.   What is the smallest possible whole-number length of the unknown side?

thienthanh · Answer

The  smallest  possible  whole-number length  of the unknown side is 17 inches.    What is the Pythagoras theorem?  The  Pythagoras  theorem states that the  square  of the  longest  side must be equal to the sum of the  square  of the other two sides in a  right-angle triangle .    From the  information  given, the  sides  of an  obtuse triangle  measure 9 inches and 14 inches.    Therefore, the  third  side will be:    c² = 9² + 14²    c² = 81 + 196    c² = 277    c = ✓277    c = 16.64    c = 17    Hence, the  smallest  possible  whole-number length  of the unknown side is 17 inches.    Learn more about  triangles  on:  brainly.com/question/17335144  #SPJ1

What is the Pythagoras theorem?

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