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VCE 11 General 2023

11.08 Right angled and non-right angled triangles

Interactive practice questions

Calculate the value of $c$c in the triangle below.

A right-angled triangle with a right angle shown at the bottom right corner. The base is labeled as 14 cm, the height on the right side is labeled as 48 cm, and the hypotenuse is labeled with c cm. There is a small square at the right angle indicating the 90-degree angle.

Easy
1min

Find the value of $f$f, correct to two decimal places.

Easy
1min

Solve for the length of side $a$a.

Round your answer to two decimal places.

Medium
2min

Find the value of angle $w$w in degrees.

Round your answer to two decimal places.

Medium
3min
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Outcomes

U2.AoS4.10

solve practical problems requiring the calculation of side lengths or angles in non-right-angled triangles using the sine rule or the cosine rule as appropriate

U2.AoS4.11

calculate the perimeter and areas of triangles (calculating the areas of triangles in practical situations using the rules A=1/2 bh, A=1/2 ab sin(c) or A=\sqrt{s(s-a)(s-b)(s-c)} where s=(a+b+c)/2

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