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Trigonometry Section 9.2
Find the area of a triangle using trigonometry
Consider the triangle shown
below:
The area is given by:
Area = ½ (base)(height)
Note: sin A = h/b or b sin A = h
So Area =1/2 (c)(b sin A)
Area of a triangle
K = ½ bc sin A
K = ½ ac sin B
K = ½ ab sin C
Find the area of the triangle.
Find the area of the parallelogram
The area of ∆XYZ is 20 and x = 5, when
y = 12. Find the measure of angle Z.
assignment
• Page 342
• Problems 2,4,8,10,12,14,19,20
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