In triangle ABC, angle A= 30*, angle B= 90*, angle C= 60*, AC = 12 then find AB and BC.
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Step-by-step explanation:
In ∆ ABC , angle B=90° , angle C= 60° , angle A=30° and BC=12 cm. , applying
sine rule:-
AB/sinC = BC/sinA = CA/sinB.
or. AB/sin60° = 12/sin30°= CA/sin90°.
or. 2.AB/√3. = 2.12/1= CA/1.
or. AB = 12√3 cm. , CA(hypotenuse) = 24cm.
Area of triangle ABC = (1/2)×AB×BC = (1/2)× 12√3×12
= 72√3 cm^2. = 124.704 cm^2.
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