If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true
Using sine law:
9/sinc = 15/sin22
sinc = 9sin22 / 15 = 0.225
so c = sin^-1(0.225) = 12.99 degrees ~~ 13 degrees
if B was required:
B = 180 - C - A ~~ 145
if ac is a and bc is b, then ab can be c. now we use Pythagorean method. 16 squared is 156 and 12 squared is 144. added together they are 400. 400 to the square root is 20. Your answer is 20
The formula to find the slope of a line is
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I'm not sure if my fraction looks right, so I'll add it in a separate attachment too.
