The diagram shows triangle ABC, with AB = 5 cm, BC = (2x 3) cm, CA

Question:

The diagram shows triangle ABC, with AB = 5 cm, BC = (2x − 3) cm, CA = (x + 1) cm and ∠ABC = 60°.


image


a. Show that x satisfies the equation x2 − 8x + 16 = 0.


b. Find the value of x.


c. Calculate the area of the triangle, giving your answer to 3 significant figures.

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