High School

We appreciate your visit to Triangle ABC has the following measures m angle A 46 circ m angle B 73 circ text and b 32 3 What is the length. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Triangle ABC has the following measures:

\[ m\angle A = 46^\circ, \, m\angle B = 73^\circ, \, \text{and} \, b = 32.3 \]

What is the length of side c?

A. 35.9
B. 24.3
C. 29.5
D. 61.0

Answer :

Final answer:

By applying the Law of Sines to the given information about triangle ABC, we find that none of the provided options match the calculated value for side c. There seems to be a mistake in the options provided. none of the option is correct

Explanation:

To determine the length of side c in triangle ABC, given m ∠ A = 46 ∘ , m ∠ B = 73 ∘ , and side b = 32.3 , we would need to apply the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

The missing angle C can be found using the fact that the sum of angles in a triangle is 180 degrees. To find the length of side c, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is constant for all three sides and their opposite angles in a triangle.

Therefore, ∠ C = 180 - 46 - 73 = 61 degrees. Applying the Law of Sines we get: b/sin(B) = c/sin(C), so c = b*sin(C)/sin(B) = 32.3*sin(61)/sin(73). Upon calculation, we do not get any of the provided options a. 35.9 b. 24.3 c. 29.5 d. 61.0 as the answer. Therefore, there seems to be an error in the given choices. none of the option is correct

Learn more about Law of Sines here:

https://brainly.com/question/31921882

#SPJ11

Thanks for taking the time to read Triangle ABC has the following measures m angle A 46 circ m angle B 73 circ text and b 32 3 What is the length. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada