Find the lengths of all three sides of a right triangle that has perimeter 35 and has a 35 degree angle.
The angles are 35 degrees, 55 degrees and 90 degrees.
We know that a/Sin A = b/Sin B = C/sin C = k say
a= k sin 35 degrees
b= k sin 55 degrees
c = k sin 90 degrees
a+b+c = k(2.3928) =35
k = 35/2.3928 =14.6277
a=14.6277* 0.5735 =8.39
b= 14.6277*0.8191 =11.98
c= 14.6277*1 = 14.63
The sides are 8.39, 11.98,14.63
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