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Question
can side lengths 3, 4, and 5 form a right triangle? no yes
Step1: Apply Pythagorean theorem
$$a^{2}+b^{2}=c^{2}$$
Let \(a = 3\), \(b = 4\), \(c = 5\)
Step2: Calculate left - hand side
$$3^{2}+4^{2}=9 + 16=25$$
Step3: Calculate right - hand side
$$5^{2}=25$$
Since \(3^{2}+4^{2}=5^{2}\), side lengths \(3\), \(4\), and \(5\) can form a right triangle.
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yes