SOLUTION: The longest side of a triangle is 30 centimeters long. Two of the angles have measures of 45 and 79. Find the measures of the other two sides and the remaining angle.

Algebra ->  Triangles -> SOLUTION: The longest side of a triangle is 30 centimeters long. Two of the angles have measures of 45 and 79. Find the measures of the other two sides and the remaining angle.      Log On


   

Question 982636: The longest side of a triangle is 30 centimeters long. Two of the angles have measures of 45 and 79. Find the measures of the other two sides and the remaining angle.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The other angle is 124 degrees, and is opposite of the longest side (the 30 cm length side).

180-%2845%2B79%29=124 because sum of interior angles of a triangle is 180 degrees.

Law of Sines will give the way to find the other two (shorter) sides.
The shortest side, s would fit the equation s%2Fsin%2845%29=30%2Fsin%28124%29.