Question

state if the 3 sides form an acute, obtuse, or right triangle. 3.6, 7.4, 8.5

Explanation:

Step1: Apply the Pythagorean theorem for triangle type determination

Let \(a = 3.6\), \(b=7.4\), \(c = 8.5\) (where \(c\) is the longest side). Calculate \(a^{2}+b^{2}\) and \(c^{2}\).
\(a^{2}+b^{2}=3.6^{2}+7.4^{2}=12.96 + 54.76=67.72\)
\(c^{2}=8.5^{2}=72.25\)

Step2: Compare \(a^{2}+b^{2}\) and \(c^{2}\)

Since \(a^{2}+b^{2}=67.72\lt c^{2}=72.25\)

Answer:

obtuse