SOLUTION: In ∆ABC, AB = 30, BC = 16, and m∠B = 47. Find the area of ∆ABC.

Algebra ->  Surface-area -> SOLUTION: In ∆ABC, AB = 30, BC = 16, and m∠B = 47. Find the area of ∆ABC.      Log On


   

Question 1197960: In ∆ABC, AB = 30, BC = 16, and m∠B = 47. Find the area of ∆ABC.
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

The area of a triangle equals one-half the product of the lengths of two sides times the sine of their included angle. In your case the formula is:

A=%281%2F2%29ac%2Asin%28B%29

given:
AB+=c=+30, BC=a+=+16, and m∠B+=+47
A=%281%2F2%2916%2A30%2Asin%2847%29
A=175.5 approximately