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NSWMaths Standard 2Quick questions

Year 12: Measurement

Quick questions on Area of a triangle using two sides and the included angle for HSC Maths Standard 2

9short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the formula?
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For a triangle ABCABC with sides aa, bb, cc opposite angles AA, BB, CC:
What is why this works?
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Drop a perpendicular from vertex AA to side BCBC. The height of the triangle is h=bsin⁡Ch = b \sin C (right-triangle trigonometry inside the triangle).
What is units?
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If sides are in metres, area is in m2^2. If in centimetres, area is in cm2^2. Always include units in your final answer.
What is australian property boundary?
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A surveyor measures a triangular block of land in regional NSW with sides 4242 m and 3838 m meeting at an angle of 85°85\degree.
What is two-step from SSS?
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Triangle with sides 99 m, 1212 m and 1515 m. Find the area.
What is calculator in radians?
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Standard 2 uses degrees. Always check the calculator mode before computing sin⁡C\sin C.
What is forgetting the 12\frac{1}{2}?
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Easy to write absin⁡Ca b \sin C and lose half the marks.
What is square units?
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Area is always in squared units. m, not m2^2, is a marking-guide-level error.
What is mixing units?
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If one side is in metres and another in centimetres, convert before substituting. :::

All Maths Standard 2Q&A pages