SOLUTION: Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.
What is the smallest possible whole-number length of the unknown side?
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-> SOLUTION: Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.
What is the smallest possible whole-number length of the unknown side?
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Question 1009101: Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.
What is the smallest possible whole-number length of the unknown side?
You can put this solution on YOUR website! It has to be the next largest integer greater than the Pythagorean distance of legs 10 and 15...
c^2 = a^2 + b^2 = 15^2 + 10^2 = 225 + 100 = 325
Since c is the largest side, and the triangle is obtuse, c must be opposite the obtuse angle.
The square root of 325 is a touch over 18, so the answer must be
19 inches.
