Question

multiple choice question 8 listen classify this triangle as specifically as possible. 32° a acute scalene b acute isosceles c obtuse isosceles d right equilateral

Explanation:

Step1: Identify triangle type by sides

The triangle has two equal - length sides (marked with tick marks), so it is isosceles. This rules out option A (scalene, which has all sides of different lengths) and option D (equilateral, which has all sides equal; also a right - equilateral triangle is impossible as a right triangle has a 90° angle and an equilateral triangle has all angles 60°).

Step2: Identify triangle type by angles

The sum of the interior angles of a triangle is $180^{\circ}$. Let the two equal angles be $32^{\circ}$ each. Then the third angle $\theta=180-(32 + 32)=180 - 64 = 116^{\circ}$. Since $116^{\circ}>90^{\circ}$, the triangle has an obtuse angle. So it is an obtuse triangle.

Answer:

C. obtuse isosceles