In the diagram, triangle ABC is right-angled and D is the mid-point of BC. Angle DAC=30 degrees and angle BAD =x degrees, denoting the length of AD by l,
(i) express each of AC and BC in terms of l, and show that AB= (1/2)l sqrt 7
(ii) show that x=tan^-1 (2 over sqrt 3) -30.

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@dpaInc

i) using the properties of a 30,60,90 triangle.
AC = 1/2*I*sqrt(3)
BC = 2*(I/2) = I

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