1. Warm Up
Solve ΔSJT given s = 49, side j = 16, and side T = 115°. S = _____ J = _____ T = _____ s = _____ j = _____ t = _____

2. Answer
Solve ΔSJT given s = 49, side j = 16, and side T = 115°. S = 50.43° J = 14.58° T = 115° s = 48 j = 16 t = 57.62

3. Area of non-right Triangles

4. Area of a Triangle A = ½ b h
So far, you know the formula to find the area of a triangle is
A = ½ b h
….but what if you do not know the height?

5. AreaΔ= ½ bc sin A = ½ ac sin B = ½ ab sin C
Area Formula for SAS
AreaΔ= ½ bc sin A = ½ ac sin B = ½ ab sin C

6. Example 1
Find the area

7. Example 2
Farmer Jones owns a triangular piece of land. He labels each corner of the land A, B and C.
The length of the AB is 150 m. The length of the fence BC is 231 m. The angle between fence AB and fence BC is 123º.
What is the area of the land Farmer Jones owns?

8. Example 3
Find the area

9. Area Formula for SSS (Heron’s Formula)
Find s, or the semi-perimeter (half the perimeter)
The area of ΔABC is given by

10. Example 4
Find the area of a triangle with sides 13, 15, 18.

11. Example 5
Find the area of the triangle.