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Why are we going to subtract the two given anglesfrom 180°?Well said! Will you solve for angle A on the board?Correct! We have solved for the missing angle! Letus now find the two missing sides.Let us start with finding side a. What is the equation to be used for finding side a?Why do you think that we are using csinCfor solving the other missing sides?Subtract the sum of the two given angles from 180°°
Very good! In order to use Law of Sine, we shouldhave a given pair ratio. Do you have any questionsso far? Let us have another example:Given triangle ABC, find the missing parts.What are the given?Observe: in between of the two angles, there is a given side. We call that as ASA type. Angle-Side-Angle. That is the 2ndtype for case I we are going to study for today.Do we have any pair given?How are we going to have a pair for triangle ABC?Correct! What is the equation to be used?Who wants to solve for angle B?Correct! We have solved for angle B. I need two volunteers to find the value of the missing sides.66°sin¿¿66°sin¿¿b=10sin 66°sin54°b=11.29unitsThey both have csinCThe values are already given None, teacherTwo angles and one sideNone, teacherGet the value of angle Bm∠A+m∠B+m∠C=180°65°+m∠B+48°=180°m∠B+113°=180°
Splendid class!4.GeneralizationWhat is the law of sine?What is the formula of law of sine?What are the two types for Case I?Do you have any questions? Clarifications?5.ApplicationThe class will be divided into 4 groups. Each group will be given envelopes containing a problem and instructions. For every group, there should be: Leader, Secretary, Checker, Reporter, 3Solvers, Post Person, Remover, and Time Checker. The rubrics are:Accuracy (Correctness) = 5 pointsParticipation = 3 pointsNeatness = 2 pointsOverall, 10 points.Your answers will be written on the ¼ illustration board using a chalk. I will just give you 5 minutes to do your activity. After that, the post person will post your work and reporter will report. Lastly, weare going to check so the checker of each group will stand up. Here are your materials. You may