Question

1. classify the triangle by its angles and sides. 5 in. 6 in. 8 in. acute isosceles right scalene obtuse scalene obtuse isosceles

Explanation:

Step1: Check side - length equality

Since the side - lengths are 5 in, 6 in, and 8 in, all sides have different lengths. So, it is a scalene triangle.

Step2: Use the Pythagorean - like inequality

Let \(a = 5\), \(b = 6\), and \(c = 8\) (where \(c\) is the longest side). Calculate \(a^{2}+b^{2}\) and \(c^{2}\). \(a^{2}+b^{2}=5^{2}+6^{2}=25 + 36=61\), and \(c^{2}=8^{2}=64\). Since \(a^{2}+b^{2}

Answer:

obtuse scalene