Math CentralQuandaries & Queries


Question from raneem, a student:

ABC is a triangle in which : BC=20cm. M(<B) =29 and m(<C)=73 . D is the midpoint of BC
Find the length Of AB and AD approximated to 2 decimal places


Since the sum of the measures of the interior angles of a triangle is 180 degrees you can calculate the measure of the angle at A. I would then apply the Law of Sines to triangle ABC and then the Law of Cosines to triangle ADB.


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