Solving Triangles Law of Sines and Cosines

What is required to use the Law of Cosines to find a missing side in a triangle?

• All three angles

• Only one side and one angle

• Two angles and any side

• Two sides and the included angle

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which scenario is an example of when you would use the Law of Cosines?

• To find the length of a side in a triangle when two sides and the included angle are known

• To calculate the area of a square

• To determine the height of a parallelogram

• To find the diameter of a circle

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the primary use of the Law of Cosines?

• To solve oblique triangles where a side and the two adjacent angles are known

• To calculate the height of geometric shapes

• To determine the radius of circumscribed circles

• To find the centroid of a triangle

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which theorem is a special case of the Law of Cosines?

• Euler's Theorem

• Pythagorean Theorem

• Stewart's Theorem

• Theorem of Pappus

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of side W?

sin 68 = 70/w

(be sure to lable your answer) (Round to the nearest whole number)

Tags

CCSS.HSG.SRT.C.8

a = 39, b = 19, m∠C = 76°.

Find c°

(round to hundredths)

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve for side x. Round to the nearest tenth.

• 5.5

• 4.1

• 6.3

• 7.2

Tags

CCSS.HSG.SRT.C.8

What would you use to solve this triangle?

• Law of Sines

• Law of Cosines

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Parker must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 860 feet from point A and 175 feet from Point B. He measures the angle at Point C to be 78 degrees. Find the distance from point A to point B.

• 707643.58

• 841.22

• 877.62

• 845.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11