Question 239830
A triangle has a hypotenuse of 36 inches, it has a right angle opposite the hypotenuse, and a 20 degree angle, and a 70 degree angle.
What is the length of the other two sides?
So basically, a2 + b2 = 1296 
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What you say is true but both legs are unknown, but they give the angles, so you can use the sine or cosine
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Sin = {{{(side opposite)/hypotenuse}}}
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Find the side opposite the 20 degree angle; let it = a
sin(20) = {{{a/36}}}
.342 = {{{a/36}}}
a = .342 * 36
a = 12.31 inches
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Now you can find the 2nd leg  using pythag, or you can use the cosine
which {{{(side adjacent)/hypotenuse}}}
cos(20) = {{{b/36}}}
.940 = {{{b/36}}}
b = .940 * 36
b = 33.83 inches
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We can check this using pythag
12.31^2 + 33.83^2 = 1296