Applying the Law of Sines in Triangles

The video tutorial explains how to solve a problem using the law of sines. It begins with drawing a triangle based on given angles, then explains the law of sines formula. The missing angle is calculated using the sum of angles in a triangle. The law of sines is applied to find the side lengths, followed by final calculations and verification to ensure the results are correct.

What is the Law of Sines used for in triangle problems?

• To calculate angles based on side lengths

• To find side lengths when angles are known

• To determine the area of the triangle

• To prove triangles are similar

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What does the Law of Sines equation look like?

• A/B = sin(a)/sin(b)

• a*sin(A) = b*sin(B) = c*sin(C)

• sin(A)/a = sin(B)/b = sin(C)/c

• a/sin(A) = b/sin(B) = c/sin(C)

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CCSS.HSG.SRT.D.10

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What must be known to apply the Law of Sines effectively?

• At least one angle and all side lengths

• At least one side length and its opposite angle

• All angles of the triangle

• The area of the triangle

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CCSS.HSG.SRT.D.10

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If angle A is 55 degrees and angle B is 42 degrees, what is angle C?

• 85 degrees

• 75 degrees

• 83 degrees

• 95 degrees

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How do you calculate the missing angle in a triangle?

• Add the known angles and subtract from 180

• Multiply the known angles and divide by 180

• Subtract the known angles from 180

• None of the above

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CCSS.8.G.A.5

What is the next step after finding all angles in a triangle using the Law of Sines?

• Calculate the area of the triangle

• Determine if the triangle is equilateral

• Find the unknown side lengths

• Check if the triangle is right-angled

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CCSS.HSG.SRT.D.10

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What is the result of 0.75 times sine of 55 divided by sine of 83?

• 0.68

• 0.59

• 0.62

• 0.65

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which angle corresponds to the side length calculated by 0.75 times sine of 42 divided by sine of 83?

• Angle A

• None of the above

• Angle B

• Angle C

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How is the side opposite to the largest angle in a triangle characterized?

• It is the shortest side

• It is the longest side

• It is equal to another side

• It is irrelevant to the angle

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How do you verify the correctness of the triangle's angles and sides?

• Measure each angle with a protractor

• Confirm the triangle is isosceles

• Ensure each side is equal

• Check if all angles add up to 180 degrees