Question

Find area of triangle abc if angle a = 60 angle b = 30 ac=4
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Answer 1

Answer:

For this problem you may apply the law of cosines,which is an extension of Pythagoras's Theorem. If ABC is our triangle, then:

BC^2 = AB^2 + AC^2 -[ 2*AB*AC*cos(A) ]

I used the right parantheses to avoid any confusion.

Thus we have:

BC^2 = 9 + 16 - [2*3*4*(1/2)]

BC^2 = 25 - 12

BC^2 = 13

BC = sqrt(13)

now you can find the area of triangle