HSC Standard Maths Resources

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4.4.1 Exam Question Type 1

Right-angled triangle and non-right-angled triangles are combined in these types of questions.

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Relevant Past Exam Questions

Following are relevant past exam questions:

(Note: The links will direct you to relevant question in the file on PC only NOT mobile)

2013Q24, 2019Q22, 2010Q24d, 2012Q29c, 2015Q30e, 2018Q30c

Check out the videos below relevant to these questions

HSC Maths Standard 2019 Question 22 - StudyNinja

by StudyNinja (click to view channel)

Solves Question 22 from Maths Standard 2019 HSC exam (Trigonometry).

Possible Variations

  • Many variations possible but as mentioned above focus on the art of breaking question down into small parts.
  • Can you see how similar questions 2013Q24 and 2010Q24d are even though on the face they look different? For a start they both have same shape (one is inverted). At their core they both are asking you to do same thing, you are given some information in one right-angled triangle and one non-right-angled triangle and are either asked length or angle.
  • Take another example, 2012Q29c, 2018Q30c and 2019Q22 are quite similar too and not different to the two questions in previous bullet point. There is one triangle next to another either a right-angled triangle next to another right-angled triangle or non-right-angled triangle next to right-angled triangle. On this base diagram and with some given information, question is asked. Not hard to imagine variation with two non-right-angled triangles or even more than two triangles but the art of solving remains unchanged.


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