Question

in an right angled triangle ABC, angle ACB = 60 degrees, angle BAC = 30 degrees and angle ABC =90, then the length of BC is what cm?

pls help

Answer 1

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$\bigstar{\underline{\underline{{\sf\ \red{ SOLUTION:-}}}}}$

We can say that the radius(r) of the circumcircle will be BC/2

and, sin (∠ACB) = AB/BC

⇒ √3/2 = AB/2r

⇒ r/AB = 1/√3

∴ The ratio of the circum radius of the triangle to the side AB is 1 : √3

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