QUESTION IMAGE
Question
a triangle has sides with lengths of 6 millimeters, 8 millimeters, and 9 millimeters. is it a right triangle? yes no
Step1: Recall Pythagorean theorem
For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is the longest side. Here, \(c = 9\), \(a = 6\), \(b = 8\).
Step2: Calculate \(a^2 + b^2\)
\(6^2 + 8^2 = 36 + 64 = 100\)
Step3: Calculate \(c^2\)
\(9^2 = 81\)
Step4: Compare results
Since \(100
eq 81\), \(a^2 + b^2
eq c^2\).
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