This document discusses different methods for solving oblique triangles: 1) Case I involves being given two angles and a side opposite one of the angles. 2) Case II involves being given two angles and the included side between them. 3) Case III involves being given two sides and an angle opposite one of the sides. 4) The document provides examples of solving oblique triangles using Cases I and II. 5) Students are assigned exercises from the textbook to practice these triangle solving methods.

1. Demonstration Teaching
In
Trigonometry

2. Right Triangle
Acute Triangle
Obtuse Triangle

3. TriangleSolved
 three sides
 three angles

4. Right Triangle

5. B
B
B
B
a
Acute TriangleObtuse Triangle
Oblique Triangles

6. Oblique Triangle

7. How then do we
solve oblique
triangles?

9. Case II: Given two
angles and the
included side between
them (ASA)
Case I: Given two
angles and a side
opposite one of them
(AAS)
Case III: Given two
sides and an angle
opposite one of them
Case IV: Given two
sides and the included
angle between them
Case v: Given three sides

10. Case I. Given two angles and a side opposite to one of them. (AAS)
Given: A = 48°
C = 102°
c = 25cm
Unknown : B , a, c
A
C
B
a=?b =?
c= 25 cm
48°
102°
?

11. Case I. Given two angles and a side opposite to one of them. (AAS)
Given: A = 63°
C = 79°
a= 12 in
Unknown : B , b, c
In ▲ABC, A = 63°, B = 79°, and a = 12 in. Find
the length s of the other two sides and the
measure of the third angle, C.
BA
C
a =12 inb =?
c= ?
63°
79°
?

12. Given: A = 75°
C = 85°
b = 10 cm
Unknown : B , a, c
Case II. Given two angles and the included side between
them. (ASA)
A B
c = ?
b=10 cm a =?
C
85°
75° ?

13. Given: A = 59°
C = 49°
b = 13 cm
Unknown : B , a, c
Case II. Given two angles and the included side between
them. (ASA)
A B
c = ?
b=13 cm a =?
C
59°
49°
?

14. is a triangle which does not
contain a right angle.
Oblique Triangle

16. Case I: Given two angles and a side opposite
one of them (AAS)

17. Case II: Given two angles and
the included side between them
(ASA)

18. Case III: Given two sides and
an angle opposite one of
them

19. Assignment:
Answer Exercises
6.2 p. 167.