By utilizing the law of the sines and Heron's formula, we find that the <em>approximate</em> area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)
<h3>How to calculate the area of a triangle by Heron's formula</h3>
Prior to using Heron's formula, we must find the lengths of the missing sides by law of the sines:
A = 180° - 95° - 35°
A = 50°
b ≈ 10.483 cm
c ≈ 18.206 cm
Now, we proceed to calculate the area of the triangle:
s = 0.5 · (14 cm + 10.483 cm + 18.206 cm)
s = 21.345 cm
A ≈ 73.113 cm²
By utilizing the law of the sines and Heron's formula, we find that the <em>approximate</em> area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)
To learn more on triangles: brainly.com/question/2773823
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