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 between sides a and b, the following equation holds:

c² = a² + b² - 2ab*cos(γ)

In this case, we know that a = 2, b = 5, and γ = 60°. Plugging these values into the Law of Cosines gives us:

c² = 2² + 5² - 2*2*5*cos(60°)
c² = 4 + 25 - 20*0.5
c² = 29 - 10
c² = 19

Taking the square root of both sides gives us c = √19, which is approximately 4.36. Therefore, the length of the third side of the triangle is approximately 4.36.

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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 between sides a and b, the following equation holds:

c² = a² + b² - 2ab*cos(γ)

In this case, we know that a = 2, b = 5, and γ = 60°. Plugging these values into the Law of Cosines gives us:

c² = 2² + 5² - 2*2*5*cos(60°)
c² = 4 + 25 - 20*0.5
c² = 29 - 10
c² = 19

Taking the square root of both sides gives us c = √19, which is approximately 4.36. Therefore, the length of the third side of the triangle is approximately 4.36.

Knowee AI · Accepted Answer

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 between sides a and b, the following equation holds:

c² = a² + b² - 2ab*cos(γ)

In this case, we know that a = 2, b = 5, and γ = 60°. Plugging these values into the Law of Cosines gives us:

c² = 2² + 5² - 2*2*5*cos(60°)
c² = 4 + 25 - 20*0.5
c² = 29 - 10
c² = 19

Taking the square root of both sides gives us c = √19, which is approximately 4.36. Therefore, the length of the third side of the triangle is approximately 4.36.

Suppose a triangle has two sides of length 2 and 5 and that the angle between these two sides is 60°. What is the length of the third side of the triangle?A.B.5C.2D.

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