How do you solve the triangle given #a=1.42, b=0.75, c=1.25#?
A = 86.68
B = 31.82
C = 61.5
Just to clarify,
1st step : Get your calculator!
2nd step : Let's start by working out the angle
Let's substitute the known values :
3rd step : At this point, you will probably need a calculator. Ok, let's simplify this. With my calculator, I got :
4th step : So right now,
We need to get
Let's just round that to 2 decimal places : 86.68
Next, let's work out side B. Although you can solve this using sine, since you asked us about using the Law of Cosine, I will use the Law of Cosine.
Substitute known values :
Plug in numbers on your calculator
Take the inverse cosine of that :
Round it to 2 decimal places : 31.82
Ok, so because interior angles add up to 180 in a triangle, let's set this equation for the last angle :
I'll leave it for you to check angle C using the Law of Cosines.