2013
Mathematics
67ca00ce0c643c71d77dee1f
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 = √9cmTHIS WEEK's
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