Question 174769
Scalene triangle with 90, 75, abd 15 degree angles.
Shortest side is 5 inches
What are the other two side lengths?
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It's a right triangle, so that makes it easier.
The short side is opposite the small angle, 15º, so 5 = hyp*sin(15)
hyp = 5/sin(15) = 19.3185...
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The tan(15) = 5/side 3, so the 3rd side is 5/tan(15)
Side 3 = 18.660...
As a check use Pythagoras:
{{{18.88^2 + 5^2 = 19.3185^2}}}
So it's correct.