SOLUTION: How long is the third side of a triangle when each of the other two sides are 4 feet 7 inches and there is an angle of 22.5 degrees between the two sides given

Question 198586: How long is the third side of a triangle when each of the other two sides are 4 feet 7 inches and there is an angle of 22.5 degrees between the two sides given
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How long is the third side of a triangle when each of the other two sides are 4 feet 7 inches and there is an angle of 22.5 degrees between the two sides given
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2 sides are 55 inches.
The bisector of the 22.5 deg angle forms 2 right triangles, and the hypotenuse is the 55 inches.
The side opposite is 55*sin(11.25) = ~ 10.73 inches.
That is 1/2 the 3rd side, so it's
21.46 inches.
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