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Can anyone explain to me how to find the interior angles on this triangle and prove the answer is reasonable? I tried to use the cosine theory to find one angle and then sine theory to find the other two. I found the angles to be 18.2 33.1 and 51 but I have no idea where I was wrong.
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>>236480
Please keep in mind that the angles that build up a triangle should add up to 180 degrees.
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>>236488
That's how I knew I made a mistake...
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>>236480
Triangle inequality: the sum of two sides must be larger than the third side, so 4, 7, 10 are the sides of a triangle. Note that 7+4 = 11 is nearly 10, so your triangle should have an angle alpha > 90° opposite to the side with lenght 10. So if you use the law of sines to find this angle you need to adjust the angle.
For example, if sin alpha = 0.5 then alpha is not 30°, but 180°-30° = 150° (sin(150°) = 0.5)
If you want to
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>>236538
candlejack took hi
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>>236480
a^2+b^2=c^2+ab*cos(∠c)
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