NZ Level 6 (NZC) Level 1 (NCEA)
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Applications to Geometry

Interactive practice questions

Consider the following figure.

a

Find the value of $x$x.

Round your answer to two decimal places.

b

Next, find the value of $y$y.

Round your answer to two decimal places.

c

Hence or otherwise, find the length of the base of the triangle.

Round your answer to two decimal places.

Easy
Approx 3 minutes
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Consider the following diagram.

Consider the following trapezium.

Consider a cone with slant height $13$13m and perpendicular height $12$12m.

Outcomes

GM6-6

Use trigonometric ratios and Pythagoras’ theorem in two and three dimensions

GM6-7

Use a co-ordinate plane or map to show points in common and areas contained by two or more loci

91031

Apply geometric reasoning in solving problems

91032

Apply right-angled triangles in solving measurement problems

91033

Apply knowledge of geometric representations in solving problems

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