The sides of the triangle are 8 cm, 24 cm, 18 cm. Find the smaller corner of the triangle.

Let a = 18 cm, b = 24 cm, c = 8 cm.

Since the triangle has a smaller angle against the smaller side, then the smallest angle of the triangle will be the angle that lies against the 8 cm long side.

cos C = (24 ^ 2 + 18 ^ 2 – 8 ^ 2) / (2 * 24 * 18) = (576 + 324 – 64) / = 32/40 = 4/5.

Answer: cos A = 0, cos B = 3/4, cos C = 4/5.



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