Quizzes & Puzzles30 mins ago
Igcse Question In The Sunday Times
2 Answers
LMNP is a quadrilateral.
LMN=58 degrees
NPL=72 degrees
MN=13.7cm
NP=4.3cm
PL =15.6cm
Work out to 3 significant figures angle MLP.
Can't see it-presumably the trick is to construct some right angled triangles and use some trig but can't see it.
Thanks
LMN=58 degrees
NPL=72 degrees
MN=13.7cm
NP=4.3cm
PL =15.6cm
Work out to 3 significant figures angle MLP.
Can't see it-presumably the trick is to construct some right angled triangles and use some trig but can't see it.
Thanks
Answers
Best Answer
No best answer has yet been selected by barnaclebill58. Once a best answer has been selected, it will be shown here.
For more on marking an answer as the "Best Answer", please visit our FAQ.Too many steps for me to follow it through to the end, but I think the solution arises from:
1. Drawing a line between corners L and N.
2. Using the cosine rule (a^2 = b^2 + c^2 - 2 b c Cos[A]) to work out the length of this line.
3. Using the Sine rule (a/Sin[A] = b/ Sin[B]) to work out angles NLP and NLM.
4. Summing these two angles.
This avoids the problem of trying to find a right-angled triangle.
1. Drawing a line between corners L and N.
2. Using the cosine rule (a^2 = b^2 + c^2 - 2 b c Cos[A]) to work out the length of this line.
3. Using the Sine rule (a/Sin[A] = b/ Sin[B]) to work out angles NLP and NLM.
4. Summing these two angles.
This avoids the problem of trying to find a right-angled triangle.
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