Solve a triangle, 2 sides are given.

Jun 8th, 2016
Studypool Tutor
Columbia University in the City of New York
Price: $5 USD

Tutor description

Given triangle ABC with AB=6, AC=9, find BC

Word Count: 148
Showing Page: 1/2
ProblemGiven triangle ABC with AB=6, AC=9, find BCSolutionDraw a sketch as shown in the figure.Let x = length of BC.From the Law of Sines, the area of the triangle is1Area = ( 6 )( 9 ) sin = 27 sin 2From the Law of Cosines, obtainx 2 = 92 + 62 2 ( 9 )( 6 ) cos = 117 108cos cos =117 x 2108 117 x 2 sin = 1 108 2The area may also be calculated by using Herons formula.a = x, b = 9, c = 611x + 15s = (a + b + c) = (6 + 9 + x) =222x + 1515 xsa =x=22x + 15x 3s b =9 =22x + 15x+3

Review from student

Studypool Student
" Very Satisfied. "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1821 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors