Question

modeling real life a face of a chemical sensor that detects peanuts in food is shown. classify the triangle by its sides. 4 in. 4 in. 3.5 in. scalene isosceles equilateral classify the triangle by measuring its angles. acute right obtuse equiangular

Explanation:

Part 1: Classify by sides

Step1: Recall triangle types by sides

A scalene triangle has all sides of different lengths, an isosceles triangle has at least two sides equal, and an equilateral triangle has all three sides equal.

Step2: Compare the side lengths

The side lengths are \(4\) in, \(4\) in, and \(3.5\) in. Here, two sides (\(4\) in and \(4\) in) are equal.

Step1: Recall triangle types by angles

• Acute: All angles less than \(90^\circ\).
• Right: One angle equal to \(90^\circ\).
• Obtuse: One angle greater than \(90^\circ\).
• Equiangular: All angles equal (only in equilateral triangles, but this triangle is isosceles, not equilateral).

Step2: Analyze the isosceles triangle

In an isosceles triangle with two sides of \(4\) in and base \(3.5\) in, the angles opposite the equal sides are equal. Using the Law of Cosines or visual estimation, the angles opposite the \(4\)-in sides and the angle opposite the \(3.5\)-in side are all less than \(90^\circ\) (since the triangle is not "stretched" to have an obtuse angle, and it's not a right triangle as \(4^2 + 3.5^2
eq4^2\) and \(4^2 + 4^2>3.5^2\) etc.).

Answer:

Isosceles (since two sides are equal, it is an isosceles triangle)

Part 2: Classify by angles