# area - 4.4 Area of a Triangle Recommended Homework 4.4 5-23...

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4.4 Area of a Triangle Recommended Homework: 4.4: 5-23 odd, 35, 37 A rea: The area of a triangle = 1/2 b * h So from the law of sines, A = 1/2 ab sin γ = 1/2 bc sin α = 1/2 ac sin β Example 1: Find the area of the triangle β =130º, a=92in, c=30in. Area page 1

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Example 2: Find the area of the triangle b = 10ft, β = 106.5 ° , γ = 23.5 ° Area page 2
Area: Herons formula s = a + b + c 2 A = s ( s - a )( s - b )( s - c ) Example 3: Find the area of a triangle with sides a =6 in, b =5in and c = 8 in. Area page 3

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Example 4 : Find the area of the triangle =105º, α =30º, c=15 β Area page 4
Example 5 : Find the area of the triangle =25º, a=10 α ft, c=12 ft Area page 5

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A passenger airplane flying at 30,000 ft observes 2 towns directly to the west of the airplane. The angles of depression to the 2 towns are 20º and 50º respectively. a) How far apart are the two towns? b) What is the bearing of the plane from the closest town? c)
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## This note was uploaded on 11/27/2011 for the course MTH 114 taught by Professor Unsure during the Fall '10 term at Michigan State University.

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area - 4.4 Area of a Triangle Recommended Homework 4.4 5-23...

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