To find: The area of research
The area of research triangle is 62.8 sq. miles.
Given data:
The sides of the research triangle are distance from Raleigh to Durham 18 miles, from Raleigh to Chapel Hill 23 miles, from Chapel Hill to Durham 8 miles.
Method/Formula used:
The ‘Law of Cosines’ states for a triangle ABC , Fig. 1:
The area of triangle ABC is
Calculations:
The research triangle ABC (say) with sides AB or c equals 23 miles, BC or
Determine angle A , using result (1) as:
Substitute 8 for a , 18 for b and 23 for c in result (1),
Substitute
Thus, the area of the Research triangle is 62.8 sq. miles.
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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