Solve the triangle if cin and . Assume is opposite side is opposite side , and is opposite side . Enter your answer as a number; answer should be accurate to 2 decimal places.

 

Solve the triangle if a=31cm,b=sqrt(Next) cin and c=21cm . alpha=◻. beta=◻° gamma=◻. Assume /_alpha is opposite side a,/_beta is opposite side b , and /_gamma is opposite side c . Enter your answer as a number; answer should be accurate to 2 decimal places.

Solve the triangle if a=31cm,b=sqrt(Next) cin and c=21cm .  alpha=◻. beta=◻° gamma=◻.  Assume /_alpha is opposite side a,/_beta is opposite side b , and /_gamma is opposite side c . Enter your answer as a number; answer should be accurate to 2 decimal places.

 

Answer

α = 1.27 rad, β = 0.94 rad, γ = 1.57 rad

Explanation

This problem is about solving a triangle using the Law of Cosines. The Law of Cosines is a formula used in geometry to find a side of a triangle when the lengths of the other two sides and the angle between them are known. It is also used to find an angle of a triangle when the lengths of all three sides are known.

In this case, we are given the lengths of all three sides of the triangle (a=31 cm, b=Next, c=21 cm), and we are asked to find the angles opposite these sides (α, β, γ).

The Law of Cosines states that c² = a² + b² - 2ab*cos(γ). We can rearrange this formula to solve for γ: γ = arccos[(a² + b² - c²) / (2ab)].

We can use this formula to find γ. Once we have γ, we can use it to find α and β using the Law of Cosines again.

Please note that the Law of Cosines can only be used when the triangle is not a right triangle. If the triangle is a right triangle, the Law of Sines or the Pythagorean theorem would be more appropriate to use.

 

 

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Comments on “Solve the triangle if cin and . Assume is opposite side is opposite side , and is opposite side . Enter your answer as a number; answer should be accurate to 2 decimal places.”

Leave a Reply

Gravatar