(b) Consider the following. Find the value of \( x \) in the triangle. \[\nx= \] \( \qquad \) Classify the triangle in as many ways as possible. (Select all that apply) acute
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Bonus Knowledge
In triangle geometry, to find the value of \( x \), you'll typically apply the Pythagorean theorem, sine, cosine rules, or the properties of triangle angles. Ensure you check if it's a right triangle or use angle addition/subtraction if you’re dealing with acute or obtuse angles. Once you've identified \( x \), you'll classify it based on its angle measures and side lengths to determine if it's scalene, isosceles, or equilateral, and whether it's acute, right, or obtuse. When classifying triangles, remember that acute triangles have all interior angles less than 90 degrees. In contrast, an obtuse triangle has one angle greater than 90 degrees, while a right triangle has one angle equal to 90 degrees. Fun fact: the sum of all angles in any triangle is always 180 degrees, so you can use this rule to help you classify your triangle accurately!