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Luda [366]
3 years ago
14

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

Mathematics
1 answer:
Mazyrski [523]3 years ago
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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