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Question
pythagorean theorem converse assignment
given the side lengths below, first determine whether they form a triangle. if they do, determine whether the triangle is acute, right, or obtuse
6, 13, 20
acute triangle
right triangle
obtuse triangle
not a triangle
Step1: Check triangle inequality
To form a triangle, the sum of any two sides must be greater than the third side.
- \(6 + 13 = 19\), and \(19<20\). So, the three lengths do not satisfy the triangle inequality.
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Not a Triangle