Question

In triangle ABC, A = 44°, a = 24, and c = 2. Which of these statements best describes angle C? A. C must be acute B. C must be obtuse C. C can be either acute or obtuse D. Triangle ABC cannot be constructed

Answer 1

Angle C in triangle ABC is acute.

Step-by-step explanation:

To determine the description of angle C in triangle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees. Given A = 44° and a = 24, we can use the sine rule to find angle C. Using the formula sin C = (c * sin A) / a, we have sin C = (2 * sin 44°) / 24. Solving for C, we find that C is approximately 30.1°. Since 30.1° is less than 90°, angle C must be acute. Therefore, the correct answer is A. C must be acute.

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