SOLUTION: The angles of triangles are in the ratio 2:4:3. Find the smallest angle of the triangle

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Question 992331: The angles of triangles are in the ratio 2:4:3. Find the smallest angle of the triangle
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
2:4:3 = A:B:C

2%2F%282%2B4%2B3%29=A%2F%28A%2BB%2BC%29, 4%2F%282%2B4%2B3%29=B%2F%28A%2BB%2BC%29, 3%2F%282%2B4%2B3%29=C%2F%28A%2BB%2BC%29

and since A+B+C=180°, the above proportions are:

2%2F9=A%2F%22180%B0%22, 4%2F9=B%2F%22180%B0%22, 3%2F9=C%2F%22180%B0%22

Cross-multiplying,

9A=%22360%B0%22, 9B=%22720%B0%22, 9C=%22540%B0%22

A=%2240%B0%22, B=%2280%B0%22, C=%2260%B0%22



 
Edwin