In Triangle EFG find the value of f, if e=7.3cm g=8.7cm and angle E= 73 degrees

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SUMMARY

To find the value of side f in Triangle EFG, where e=7.3cm, g=8.7cm, and angle E=73 degrees, the Cosine Law is applied. The Cosine Law states that c² = a² + b² - 2ab * cos(C), which allows for the calculation of the unknown side when two sides and the included angle are known. In this case, substituting the given values into the formula results in a quadratic equation that can be solved to find the length of side f.

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  • Familiarity with triangle properties and terminology
  • Knowledge of angle measurement in degrees
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  • Practice solving quadratic equations using various methods
  • Explore examples of triangle problems involving the Cosine Law
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VivaItalia
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Hi Everyone,

I am looking for some help on this question

In Triangle EFG find the value of f, if e=7.3cm g=8.7cm and angle E= 73 degrees

This question is from the lesson "Cosine Law" and from what I understand you can use the cosine law if you have all three side lengths or 2 sides and the angle between the two sides...

however, this question provides neither... how do I solve for F?
 
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Try to write out the cosine law and substitute in the values you have. You will get a quadratic which you can solve.
 

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