Find the measure of each angle of triangle abc, given ac=6, cb= 2 square roots of 3, and ab= 4 square roots of 3

1 answer:

5 0

Note that
(4sqrt3)^2 = (2sqrt3)^2 + 6^2 [ 48 = 12 + 36] so the triangle is a right angled one with hypotenuse AB

So angle C = 90 degrees

sin A = 2 sqrt3 / 4 sqrt3 = 1.2 giving A = 30 degrees
and B = 90 - 30 = 60 degrees

A = 30, B = 60 and C = 90 degrees

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In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by: