smc-4553-30-Sine Rule (Area)

Measurement, STD2 M6 2023 HSC 35

The diagram shows triangle .

Calculate the area of the triangle, to the nearest square metre. (3 marks)

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Measurement, STD2 M6 2021 HSC 32

A right-angled triangle is cut out from a semicircle with centre . The length of the diameter is 16 cm and = 30°, as shown on the diagram.

Find the length of in centimetres, correct to two decimal places. (2 marks)

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Hence, find the area of the shaded region in square centimetres, correct to one decimal place. (3 marks)

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a.

b.

♦ Mean mark part (b) 36%.

Measurement, STD2 M6 2018 HSC 30c

The diagram shows two triangles.

Triangle is right-angled, with and .

In triangle and . The area of triangle is 30 cm².

What is the value of , correct to one decimal place? (3 marks)

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♦ Mean mark 39%.

Measurement, STD2 M6 2015 HSC 22 MC

The area of the triangle shown is 250 cm².

What is the value of , correct to the nearest whole number?

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♦ Mean mark 42%.

Measurement, STD2 M6 2004 HSC 9 MC

What is the area of the triangle to the nearest square metre?

$²$
$²$
$²$
$²$

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	$²$

Measurement, STD2 M6 2010 HSC 26d

Find the area of triangle , correct to the nearest square metre. (3 marks)

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$²$ $²$

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♦♦ Mean mark 32%.
TIP: The allocation of 3 marks to this question should flag the need for more than 1 step.



	$² ²$

Measurement, STD2 M6 2012 HSC 10 MC

What is the area of this triangle, to the nearest square metre?

$²$
$²$
$²$
$²$

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	$²$