Presentation is loading. Please wait.

Presentation is loading. Please wait.

Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle.

Published byNorma Kelley Modified over 8 years ago

Similar presentations

Presentation on theme: "Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle."— Presentation transcript:

1 Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle.

2 Objectives 1.Use the Law of Sines to solve for the sides and angles of ANY triangle. 2.Use the Law of Cosines to solve for the sides and angles of ANY triangle. 3.Use sine to find the Area of a Triangle.

3 Law of Cosines a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Use Law of Cosines to find: The third side of a triangle when we know two sides and the angle between them; or The angles of a triangle when we know all three sides a b c A B C

4 Law of Cosines a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Calculate side c 8 11 c A B 37°

5 Law of Cosines a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Calculate side c 12 9 c A B 96°

6 Law of Cosines a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Calculate angle C 8 6 7 A B C

7 Law of Cosines a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Calculate angle C 15 12 19 A B C

8 Law of Cosines a, b, and c are sides A, B, and C are angles Side a faces angle A; side b faces angle B; side c faces angle C Use Law of Cosines to find: The third side of a triangle when we know two sides and the angle between them The angles of a triangle when we know all three sides a b c A B C

Download ppt "Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle."

Similar presentations

Solving Right Triangles Essential Question How do I solve a right triangle?

Solving Right Triangles Essential Question How do I solve a right triangle?
EXAMPLE 1 Solve a triangle for the SAS case Solve ABC with a = 11, c = 14, and B = 34°. SOLUTION Use the law of cosines to find side length b. b 2 = a.

EXAMPLE 1 Solve a triangle for the SAS case Solve ABC with a = 11, c = 14, and B = 34°. SOLUTION Use the law of cosines to find side length b. b 2 = a.
Starter 15 9 θ. Test Revisions Overall goal: YOU learning new concepts and problem-solving skills Test goal: To see what you have learned, what you are.

Starter 15 9 θ. Test Revisions Overall goal: YOU learning new concepts and problem-solving skills Test goal: To see what you have learned, what you are.
Law of Sines Given the triangle below … … the law of sines is given by …

Law of Sines Given the triangle below … … the law of sines is given by …
Starter a 5 c A 51° 84°1.Use the Law of Sines to calculate side c of the triangle. 2.Find the measure of angle A.

Starter a 5 c A 51° 84°1.Use the Law of Sines to calculate side c of the triangle. 2.Find the measure of angle A.
Starter a 6 c A 53° 84° 1.Use Law of Sines to calculate side c of the triangle. 2.Use the Law of Cosines to calculate side a of the triangle. 3.Now find.

Starter a 6 c A 53° 84° 1.Use Law of Sines to calculate side c of the triangle. 2.Use the Law of Cosines to calculate side a of the triangle. 3.Now find.
Mrs. Rivas International Studies Charter School. The Law of Cosines and its Derivation The Law of Cosines is used to solve triangles in which two sides.

Mrs. Rivas International Studies Charter School. The Law of Cosines and its Derivation The Law of Cosines is used to solve triangles in which two sides.
8.3 Solving Right Triangles

8.3 Solving Right Triangles
TODAY IN ALGEBRA 2.0…  Learning Target : You will solve triangles that have NO RIGHT ANGLE using LAW OF COSINES.  Independent Practice.

TODAY IN ALGEBRA 2.0…  Learning Target : You will solve triangles that have NO RIGHT ANGLE using LAW OF COSINES.  Independent Practice.
Law of Sines. Triangles Review Can the following side lengths be the side lengths of a triangle?

Law of Sines. Triangles Review Can the following side lengths be the side lengths of a triangle?
DegRad        DegRad      DegRad    

DegRad        DegRad      DegRad    
Class Work 1.Sketch a right triangle that has acute angle , and find the five other trig ratios of . 2.Evaluate the expression without using a calculator.

Class Work 1.Sketch a right triangle that has acute angle , and find the five other trig ratios of . 2.Evaluate the expression without using a calculator.
5.8 The Law of Cosines Law of Cosines – Law of Cosines allows us to solve a triangle when the Law of Sines cannot be used. Most problems can be solved.

5.8 The Law of Cosines Law of Cosines – Law of Cosines allows us to solve a triangle when the Law of Sines cannot be used. Most problems can be solved.
Triangle Warm-up Can the following side lengths be the side lengths of a triangle?

Triangle Warm-up Can the following side lengths be the side lengths of a triangle?
Pg. 435 Homework Pg. 443#1 – 10 all, 13 – 18 all #3ɣ = 110°, a = 12.86, c = 18.79#4No triangle possible #5α = 90°, ɣ = 60°, c = 10.39 #6b = 4.61, c = 4.84,

Pg. 435 Homework Pg. 443#1 – 10 all, 13 – 18 all #3ɣ = 110°, a = 12.86, c = 18.79#4No triangle possible #5α = 90°, ɣ = 60°, c = #6b = 4.61, c = 4.84,
5.5 Law of Sines. I. Law of Sines In any triangle with opposite sides a, b, and c: AB C b c a The Law of Sines is used to solve any triangle where you.

5.5 Law of Sines. I. Law of Sines In any triangle with opposite sides a, b, and c: AB C b c a The Law of Sines is used to solve any triangle where you.
Homework Questions. LOGS Warm-up Convert from log form to exponential form Convert from exponential form to log form Expand Condense.

Homework Questions. LOGS Warm-up Convert from log form to exponential form Convert from exponential form to log form Expand Condense.
Notes Over 8.1 Solving Oblique Triangles To solve an oblique triangle, you need to be given one side, and at least two other parts (sides or angles).

Notes Over 8.1 Solving Oblique Triangles To solve an oblique triangle, you need to be given one side, and at least two other parts (sides or angles).
Math 150 7.1/7.2 – The Law of Sines 1. Q: We know how to solve right triangles using trig, but how can we use trig to solve any triangle? A: The Law of.

Math /7.2 – The Law of Sines 1. Q: We know how to solve right triangles using trig, but how can we use trig to solve any triangle? A: The Law of.
Lesson 6.5 Law of Cosines. Solving a Triangle using Law of Sines 2 The Law of Sines was good for: ASA- two angles and the included side AAS- two angles.

Lesson 6.5 Law of Cosines. Solving a Triangle using Law of Sines 2 The Law of Sines was good for: ASA- two angles and the included side AAS- two angles.

Similar presentations

Ads by Google