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9) Solve the triangle that has sides 4 ft, 5 ft, and 8 ft. Draw a picture of the triangle with the sides and angles clearly labeled.

9) Solve the triangle that has sides 4 ft, 5 ft, and 8 ft. Draw a picture of the triangle with the sides and angles clearly labeled.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 9: Solving a Triangle** Given a triangle with sides measuring 4 ft, 5 ft, and 8 ft, the task is to solve the triangle. This involves finding all unknown angles and confirming the properties of the triangle. **Instructions:** 1. **Draw the Triangle:** - Sketch a triangle and label the sides as follows: - Side a = 4 ft - Side b = 5 ft - Side c = 8 ft 2. **Label Angles:** - Assign labels to the angles opposite each side: - Angle A is opposite side a. - Angle B is opposite side b. - Angle C is opposite side c. 3. **Solve the Triangle:** - Use the Law of Cosines to calculate one of the angles. - Adjust the calculations as needed to find the other two angles. 4. **Verification:** - Ensure that the sum of the angles is 180 degrees to verify the solution. **Note:** The problem involves applying geometric principles to determine all aspects of the triangle, including potential cases for verification with given lengths, ensuring that all work follows logical sequence for an educational setting.
Transcribed Image Text:**Problem 9: Solving a Triangle** Given a triangle with sides measuring 4 ft, 5 ft, and 8 ft, the task is to solve the triangle. This involves finding all unknown angles and confirming the properties of the triangle. **Instructions:** 1. **Draw the Triangle:** - Sketch a triangle and label the sides as follows: - Side a = 4 ft - Side b = 5 ft - Side c = 8 ft 2. **Label Angles:** - Assign labels to the angles opposite each side: - Angle A is opposite side a. - Angle B is opposite side b. - Angle C is opposite side c. 3. **Solve the Triangle:** - Use the Law of Cosines to calculate one of the angles. - Adjust the calculations as needed to find the other two angles. 4. **Verification:** - Ensure that the sum of the angles is 180 degrees to verify the solution. **Note:** The problem involves applying geometric principles to determine all aspects of the triangle, including potential cases for verification with given lengths, ensuring that all work follows logical sequence for an educational setting.
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