How can we solve for angle a sin b h a or h a sin b

Why are we going to subtract the two given angles
from 180°?
Well said! Will you solve for angle A on the
board?
Correct! We have solved for the missing angle! Let
us 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
c
sin C
for
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 should
have a given pair ratio. Do you have any questions
so 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 2 nd type 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 = 11.29 units
They both have
c
sin C
The values are already given
None, teacher
Two angles and one side
None, teacher
Get the value of angle B
m ∠ A + m ∠ B + m ∠ C = 180 °
65 ° + m ∠ B + 48 ° = 180 ° m ∠ B + 113 ° = 180 °

Splendid class!
4. Generalization
What 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. Application
The 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, 3
Solvers, Post Person, Remover, and Time
Checker.
The rubrics are:
Accuracy (Correctness) = 5 points
Participation = 3 points
Neatness = 2 points
Overall, 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, we
are going to check so the checker of each group
will stand up. Here are your materials. You may