Triangle Angle and Side Relationships

The video tutorial explains how to solve a triangle ABC given angle A and two sides, B and C. It starts by labeling the triangle and then uses the law of cosines to find the length of side A. With side A known, the law of sines is applied to find angle B. Finally, angle C is calculated using the sum of angles in a triangle, and the solution is verified by checking the triangle's properties.

What is the given measure of angle A in triangle ABC?

• 33.7 degrees

• 42.4 degrees

• 103.9 degrees

• 90 degrees

Which side is opposite to angle A in triangle ABC?

• None of these

• Side B

• Side A

• Side C

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What formula is used to find the length of side A?

• Area Formula

• Pythagorean Theorem

• Law of Cosines

• Law of Sines

Tags

CCSS.8.G.B.8

What is the approximate length of side A after calculation?

• 13.1 yards

• 10 yards

• 9.1 yards

• 7.5 yards

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which law is used to find the measure of angle B?

• Law of Sines

• Law of Cosines

• Pythagorean Theorem

• Angle Sum Property

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the approximate measure of angle B after calculation?

• 42.4 degrees

• 33.7 degrees

• 90 degrees

• 103.9 degrees

Tags

CCSS.8.G.A.5

What is the sum of the interior angles of a triangle?

• 90 degrees

• 270 degrees

• 180 degrees

• 360 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How is angle C calculated in triangle ABC?

• Using Law of Cosines

• Using Law of Sines

• Using Pythagorean Theorem

• Subtracting angles A and B from 180 degrees

Tags

CCSS.4.MD.C.6

What is the approximate measure of angle C?

• 42.4 degrees

• 90 degrees

• 33.7 degrees

• 103.9 degrees

Tags

CCSS.HSG.CO.C.10

Which side is opposite the largest angle in triangle ABC?

• Side A

• Side B

• None of these

• Side C

Tags

CCSS.HSG.CO.C.10