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If the area of ΔPQR above is 12√3 cm2, find the value of q?

Mathematics
JAMB 2010

If the area of ΔPQR above is 12√3 cm2, find the value of q?

  • A. 6 cm
  • B. 7 cm
  • C. 8 cm
  • D. 5 cm
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Correct Answer: Option A
Explanation

Area of a triangle = 1/2 ab Sinθ
12√3 = 1/2 x 8 x q sin 60
12√3 = 4 x q x √3/2
12√3 = 2q√3

q = 12√3
2√3


q = 6

There is an explanation video available below.


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Explanation Video

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995