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In ΔXYZ, y = 6.1 cm, z = 7.5 cm and ∠X=61°. Find the length of x, to the nearest 10th of a centimeter.

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In ΔXYZ, y = 6.1 cm, z = 7.5 cm and ∠X=61°. Find the length of x, to the nearest 10th of a centimeter.
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Solution 1

To solve this problem, we can use the Law of Cosines. The Law of Cosines states that for any triangle with sides of lengths a, b, and c and an angle γ opposite side c, the following equation holds true:

c² = a² + b² - 2ab*cos(γ)

In this case, we know the lengths of sides y and z and the measure of Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  

This problem has been solved

Solution 2

To solve this problem, we can use 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 formula for the Law of Sines is: a/sinA = b/sinB = c/sinC

In this case, we know th Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  

This problem has been solved

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