passpadi

2013

Mathematics

JAMB

In triangle PQR, q = 8 cm, r = 6 cm and cos P = 1/12 Calculate the value of

A.

√108 cm

B.

9 cm

C.

√92 cm

D.

10 cm

Correct Answer: √92 cm

Explanation

Using the cosine rule, we have p2 = q2 + r2 − 2qrcosP p2 = 82 + 62 − 2(8)(6)(1/12) = 64 + 36 − 8 p2 = 92∴ p = √9cm

Using the cosine rule, we have p2 = q2 + r2 − 2qrcosP p2 = 82 + 62 − 2(8)(6)(1/12) = 64 + 36 − 8 p2 = 92∴ p = √9cm
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